├── .DS_Store ├── .gitattributes ├── .gitignore ├── CHANGELOG.md ├── ExampleNotebooks └── SimpleExample.nb ├── IntegrationRuleNotebooks ├── 1 Algebraic functions │ ├── 1.1 Binomial products │ │ ├── 1.1.1 Linear │ │ │ ├── 1.1.1.1 (a+b x)^m.nb │ │ │ ├── 1.1.1.2 (a+b x)^m (c+d x)^n.nb │ │ │ ├── 1.1.1.3 (a+b x)^m (c+d x)^n (e+f x)^p.nb │ │ │ ├── 1.1.1.4 (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^q.nb │ │ │ ├── 1.1.1.5 P(x) (a+b x)^m (c+d x)^n.nb │ │ │ ├── 1.1.1.6 P(x) (a+b x)^m (c+d x)^n (e+f x)^p.nb │ │ │ └── 1.1.1.7 P(x) (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^q.nb │ │ ├── 1.1.2 Quadratic │ │ │ ├── 1.1.2.x P(x) (a+b x^2)^p.nb │ │ │ └── 1.1.2.y P(x) (c x)^m (a+b x^2)^p.nb │ │ ├── 1.1.3 General │ │ │ ├── 1.1.3.1 (a+b x^n)^p.nb │ │ │ ├── 1.1.3.2 (c x)^m (a+b x^n)^p.nb │ │ │ ├── 1.1.3.3 (a+b x^n)^p (c+d x^n)^q.nb │ │ │ ├── 1.1.3.4 (e x)^m (a+b x^n)^p (c+d x^n)^q.nb │ │ │ ├── 1.1.3.5 (a+b x^n)^p (c+d x^n)^q (e+f x^n)^r.nb │ │ │ ├── 1.1.3.6 (g x)^m (a+b x^n)^p (c+d x^n)^q (e+f x^n)^r.nb │ │ │ ├── 1.1.3.7 P(x) (a+b x^n)^p.nb │ │ │ └── 1.1.3.8 P(x) (c x)^m (a+b x^n)^p.nb │ │ └── 1.1.4 Improper │ │ │ ├── 1.1.4.1 (a x^j+b x^n)^p.nb │ │ │ ├── 1.1.4.2 (c x)^m (a x^j+b x^n)^p.nb │ │ │ ├── 1.1.4.3 (e x)^m (a x^j+b x^k)^p (c+d x^n)^q.nb │ │ │ └── 1.1.4.4 P(x) (c x)^m (a x^j+b x^n)^p.nb │ ├── 1.2 Trinomial products │ │ ├── 1.2.1 Quadratic │ │ │ ├── 1.2.1.1 (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.2 (d+e x)^m (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.3 (d+e x)^m (f+g x) (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.4 (d+e x)^m (f+g x)^n (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.5 (a+b x+c x^2)^p (d+e x+f x^2)^q.m │ │ │ ├── 1.2.1.5 (a+b x+c x^2)^p (d+e x+f x^2)^q.nb │ │ │ ├── 1.2.1.6 (g+h x)^m (a+b x+c x^2)^p (d+e x+f x^2)^q.nb │ │ │ ├── 1.2.1.7 (a+b x+c x^2)^p (d+e x+f x^2)^q (A+B x+C x^2).nb │ │ │ ├── 1.2.1.8 P(x) (a+b x+c x^2)^p.nb │ │ │ └── 1.2.1.9 P(x) (d+e x)^m (a+b x+c x^2)^p.nb │ │ ├── 1.2.2 Quartic │ │ │ ├── 1.2.2.1 (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.2 (d x)^m (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.3 (d+e x^2)^q (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.4 (f x)^m (d+e x^2)^q (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.5 P(x) (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.6 P(x) (d x)^m (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.7 P(x) (d+e x^2)^q (a+b x^2+c x^4)^p.nb │ │ │ └── 1.2.2.8 P(x) (d+e x)^q (a+b x^2+c x^4)^p.nb │ │ ├── 1.2.3 General │ │ │ ├── 1.2.3.1 (a+b x^n+c x^(2 n))^p.nb │ │ │ ├── 1.2.3.2 (d x)^m (a+b x^n+c x^(2 n))^p.nb │ │ │ ├── 1.2.3.3 (d+e x^n)^q (a+b x^n+c x^(2 n))^p.nb │ │ │ ├── 1.2.3.4 (f x)^m (d+e x^n)^q (a+b x^n+c x^(2 n))^p.nb │ │ │ ├── 1.2.3.5 P(x) (a+b x^n+c x^(2 n))^p.nb │ │ │ └── 1.2.3.6 P(x) (d x)^m (a+b x^n+c x^(2 n))^p.nb │ │ └── 1.2.4 Improper │ │ │ ├── 1.2.4.1 (a x^q+b x^n+c x^(2 n-q))^p.nb │ │ │ ├── 1.2.4.2 (d x)^m (a x^q+b x^n+c x^(2 n-q))^p.m │ │ │ ├── 1.2.4.2 (d x)^m (a x^q+b x^n+c x^(2 n-q))^p.nb │ │ │ ├── 1.2.4.3 (d+e x^(n-q)) (a x^q+b x^n+c x^(2 n-q))^p.nb │ │ │ └── 1.2.4.4 (f x)^m (d+e x^(n-q)) (a x^q+b x^n+c x^(2 n-q))^p.nb │ └── 1.3 Miscellaneous │ │ ├── 1.3.1 P(x)^p.nb │ │ ├── 1.3.2 P(x) Q(x)^p.nb │ │ ├── 1.3.3 Miscellaneous algebraic functions.nb │ │ └── 1.3.4 Normalizing algebraic functions.nb ├── 2 Exponentials │ ├── 2.1 (c+d x)^m (a+b (F^(g (e+f x)))^n)^p.nb │ ├── 2.2 (c+d x)^m (F^(g (e+f x)))^n (a+b (F^(g (e+f x)))^n)^p.nb │ └── 2.3 Miscellaneous exponentials.nb ├── 3 Logarithms │ ├── 3.1.1 (a+b log(c x^n))^p.nb │ ├── 3.1.2 (d x)^m (a+b log(c x^n))^p.nb │ ├── 3.1.3 (d+e x^r)^q (a+b log(c x^n))^p.nb │ ├── 3.1.4 (f x)^m (d+e x^r)^q (a+b log(c x^n))^p.nb │ ├── 3.1.5 u (a+b log(c x^n))^p.nb │ ├── 3.2.1 (f+g x)^m (A+B log(e ((a+b x) over (c+d x))^n))^p.nb │ ├── 3.2.2 (f+g x)^m (h+i x)^q (A+B log(e ((a+b x) over (c+d x))^n))^p.nb │ ├── 3.2.3 u log(e (f (a+b x)^p (c+d x)^q)^r)^s.nb │ ├── 3.3 u (a+b log(c (d+e x)^n))^p.nb │ ├── 3.4 u (a+b log(c (d+e x^m)^n))^p.nb │ └── 3.5 Miscellaneous logarithms.nb ├── 4 Trig functions │ ├── 4.1 Sine │ │ ├── 4.1.0.1 (a sin)^m (b trg)^n.nb │ │ ├── 4.1.0.2 (a trg)^m (b tan)^n.nb │ │ ├── 4.1.0.3 (a csc)^m (b sec)^n.nb │ │ ├── 4.1.1.1 (a+b sin)^n.nb │ │ ├── 4.1.1.2 (g cos)^p (a+b sin)^m.nb │ │ ├── 4.1.1.3 (g tan)^p (a+b sin)^m.nb │ │ ├── 4.1.10 (c+d x)^m (a+b sin)^n.nb │ │ ├── 4.1.11 (e x)^m (a+b x^n)^p sin.nb │ │ ├── 4.1.12 (e x)^m (a+b sin(c+d x^n))^p.nb │ │ ├── 4.1.13 (d+e x)^m sin(a+b x+c x^2)^n.nb │ │ ├── 4.1.2.1 (a+b sin)^m (c+d sin)^n.nb │ │ ├── 4.1.2.2 (g cos)^p (a+b sin)^m (c+d sin)^n.nb │ │ ├── 4.1.2.3 (g sin)^p (a+b sin)^m (c+d sin)^n.nb │ │ ├── 4.1.3.1 (a+b sin)^m (c+d sin)^n (A+B sin).nb │ │ ├── 4.1.4.1 (a+b sin)^m (A+B sin+C sin^2).nb │ │ ├── 4.1.4.2 (a+b sin)^m (c+d sin)^n (A+B sin+C sin^2).nb │ │ ├── 4.1.5 trig^m (a cos+b sin)^n.nb │ │ ├── 4.1.6 (a+b cos+c sin)^n.nb │ │ ├── 4.1.7 (d trig)^m (a+b (c sin)^n)^p.nb │ │ ├── 4.1.8 trig^m (a+b cos^p+c sin^q)^n.nb │ │ └── 4.1.9 trig^m (a+b sin^n+c sin^(2 n))^p.nb │ ├── 4.3 Tangent │ │ ├── 4.3.1.1 (a+b tan)^n.nb │ │ ├── 4.3.1.2 (d sec)^m (a+b tan)^n.nb │ │ ├── 4.3.1.3 (d sin)^m (a+b tan)^n.nb │ │ ├── 4.3.10 (c+d x)^m (a+b tan)^n.nb │ │ ├── 4.3.11 (e x)^m (a+b tan(c+d x^n))^p.nb │ │ ├── 4.3.12 (d+e x)^m tan(a+b x+c x^2)^n.nb │ │ ├── 4.3.2.1 (a+b tan)^m (c+d tan)^n.nb │ │ ├── 4.3.2.3 (g tan)^p (a+b tan)^m (c+d tan)^n.nb │ │ ├── 4.3.3.1 (a+b tan)^m (c+d tan)^n (A+B tan).nb │ │ ├── 4.3.4.1 (a+b tan)^m (A+B tan+C tan^2).nb │ │ ├── 4.3.4.2 (a+b tan)^m (c+d tan)^n (A+B tan+C tan^2).nb │ │ ├── 4.3.7 (d trig)^m (a+b (c tan)^n)^p.nb │ │ └── 4.3.9 trig^m (a+b tan^n+c tan^(2 n))^p.nb │ ├── 4.5 Secant │ │ ├── 4.5.1.1 (a+b sec)^n.nb │ │ ├── 4.5.1.2 (d sec)^n (a+b sec)^m.nb │ │ ├── 4.5.1.3 (d sin)^n (a+b sec)^m.nb │ │ ├── 4.5.1.4 (d tan)^n (a+b sec)^m.nb │ │ ├── 4.5.10 (c+d x)^m (a+b sec)^n.nb │ │ ├── 4.5.11 (e x)^m (a+b sec(c+d x^n))^p.nb │ │ ├── 4.5.2.1 (a+b sec)^m (c+d sec)^n.nb │ │ ├── 4.5.2.2 (g sec)^p (a+b sec)^m (c+d sec)^n.nb │ │ ├── 4.5.3.1 (a+b sec)^m (d sec)^n (A+B sec).nb │ │ ├── 4.5.4.1 (a+b sec)^m (A+B sec+C sec^2).nb │ │ ├── 4.5.4.2 (a+b sec)^m (d sec)^n (A+B sec+C sec^2).nb │ │ ├── 4.5.7 (d trig)^m (a+b (c sec)^n)^p.nb │ │ └── 4.5.9 trig^m (a+b sec^n+c sec^(2 n))^p.nb │ └── 4.7 Miscellaneous │ │ ├── 4.7.1 Sine normalization rules.nb │ │ ├── 4.7.2 Tangent normalization rules.nb │ │ ├── 4.7.3 Secant normalization rules.nb │ │ ├── 4.7.4 (c trig)^m (d trig)^n.nb │ │ ├── 4.7.5 Inert trig functions.nb │ │ ├── 4.7.6 (c+d x)^m trig(a+b x)^n trig(a+b x)^p.nb │ │ ├── 4.7.7 F^(c (a+b x)) trig(d+e x)^n.nb │ │ ├── 4.7.8 u trig(a+b log(c x^n))^p.nb │ │ └── 4.7.9 Active trig functions.nb ├── 5 Inverse trig functions │ ├── 5.1 Inverse sine │ │ ├── 5.1.1 (a+b arcsin(c x))^n.nb │ │ ├── 5.1.2 (d x)^m (a+b arcsin(c x))^n.nb │ │ ├── 5.1.3 (d+e x^2)^p (a+b arcsin(c x))^n.nb │ │ ├── 5.1.4 (f x)^m (d+e x^2)^p (a+b arcsin(c x))^n.nb │ │ ├── 5.1.5 u (a+b arcsin(c x))^n.nb │ │ └── 5.1.6 Miscellaneous inverse sine.nb │ ├── 5.3 Inverse tangent │ │ ├── 5.3.1 (a+b arctan(c x^n))^p.nb │ │ ├── 5.3.2 (d x)^m (a+b arctan(c x^n))^p.nb │ │ ├── 5.3.3 (d+e x)^m (a+b arctan(c x^n))^p.nb │ │ ├── 5.3.4 u (a+b arctan(c x))^p.nb │ │ ├── 5.3.5 u (a+b arctan(c+d x))^p.nb │ │ ├── 5.3.6 Exponentials of inverse tangent.nb │ │ └── 5.3.7 Miscellaneous inverse tangent.nb │ └── 5.5 Inverse secant │ │ ├── 5.5.1 u (a+b arcsec(c x))^n.nb │ │ └── 5.5.2 Miscellaneous inverse secant.nb ├── 6 Hyperbolic functions │ ├── 6.1 Hyperbolic sine │ │ ├── 6.1.10 (c+d x)^m (a+b sinh)^n.nb │ │ ├── 6.1.11 (e x)^m (a+b x^n)^p sinh.nb │ │ ├── 6.1.12 (e x)^m (a+b sinh(c+d x^n))^p.nb │ │ └── 6.1.13 (d+e x)^m sinh(a+b x+c x^2)^n.nb │ ├── 6.3 Hyperbolic tangent │ │ ├── 6.3.10 (c+d x)^m (a+b tanh)^n.nb │ │ ├── 6.3.11 (e x)^m (a+b tanh(c+d x^n))^p.nb │ │ └── 6.3.12 (d+e x)^m tanh(a+b x+c x^2)^n.nb │ ├── 6.5 Hyperbolic secant │ │ ├── 6.5.10 (c+d x)^m (a+b sech)^n.nb │ │ └── 6.5.11 (e x)^m (a+b sech(c+d x^n))^p.nb │ └── 6.7 Miscellaneous │ │ ├── 6.7.6 (c+d x)^m hyper(a+b x)^n hyper(a+b x)^p.nb │ │ ├── 6.7.7 F^(c (a+b x)) hyper(d+e x)^n.nb │ │ ├── 6.7.8 u hyper(a+b log(c x^n))^p.nb │ │ └── 6.7.9 Active hyperbolic functions.nb ├── 7 Inverse hyperbolic functions │ ├── 7.1 Inverse hyperbolic sine │ │ ├── 7.1.1 (a+b arcsinh(c x))^n.nb │ │ ├── 7.1.2 (d x)^m (a+b arcsinh(c x))^n.nb │ │ ├── 7.1.3 (d+e x^2)^p (a+b arcsinh(c x))^n.nb │ │ ├── 7.1.4 (f x)^m (d+e x^2)^p (a+b arcsinh(c x))^n.nb │ │ ├── 7.1.5 u (a+b arcsinh(c x))^n.nb │ │ └── 7.1.6 Miscellaneous inverse hyperbolic sine.nb │ ├── 7.2 Inverse hyperbolic cosine │ │ ├── 7.2.1 (a+b arccosh(c x))^n.nb │ │ ├── 7.2.2 (d x)^m (a+b arccosh(c x))^n.nb │ │ ├── 7.2.3 (d+e x^2)^p (a+b arccosh(c x))^n.nb │ │ ├── 7.2.4 (f x)^m (d+e x^2)^p (a+b arccosh(c x))^n.nb │ │ ├── 7.2.5 u (a+b arccosh(c x))^n.nb │ │ └── 7.2.6 Miscellaneous inverse hyperbolic cosine.nb │ ├── 7.3 Inverse hyperbolic tangent │ │ ├── 7.3.1 (a+b arctanh(c x^n))^p.nb │ │ ├── 7.3.1 u (a+b arctanh(c x^n))^p.nb │ │ ├── 7.3.2 (d x)^m (a+b arctanh(c x^n))^p.nb │ │ ├── 7.3.2 u (a+b arctanh(c+d x))^p.nb │ │ ├── 7.3.3 (d+e x)^m (a+b arctanh(c x^n))^p.nb │ │ ├── 7.3.3 Exponentials of inverse hyperbolic tangent.nb │ │ ├── 7.3.4 Miscellaneous inverse hyperbolic tangent.nb │ │ ├── 7.3.4 u (a+b arctanh(c x))^p.nb │ │ ├── 7.3.5 u (a+b arctanh(c+d x))^p.nb │ │ ├── 7.3.6 Exponentials of inverse hyperbolic tangent.nb │ │ └── 7.3.7 Miscellaneous inverse hyperbolic tangent.nb │ └── 7.5 Inverse hyperbolic secant │ │ ├── 7.5.1 u (a+b arcsech(c x))^n.nb │ │ └── 7.5.2 Miscellaneous inverse hyperbolic secant.nb ├── 8 Special functions │ ├── 8.1 Error functions.nb │ ├── 8.10 Bessel functions.nb │ ├── 8.2 Fresnel integral functions.nb │ ├── 8.3 Exponential integral functions.nb │ ├── 8.4 Trig integral functions.nb │ ├── 8.5 Hyperbolic integral functions.nb │ ├── 8.6 Gamma functions.nb │ ├── 8.7 Zeta function.nb │ ├── 8.8 Polylogarithm function.nb │ └── 8.9 Product logarithm function.nb └── 9 Miscellaneous │ ├── 9.1 Integrand simplification rules.nb │ ├── 9.2 Derivative integration rules.nb │ ├── 9.3 Piecewise linear functions.nb │ └── 9.4 Miscellaneous integration rules.nb ├── LICENSE ├── README.md └── Rubi ├── .DS_Store ├── IntegrationRules ├── .DS_Store ├── 1 Algebraic functions │ ├── .DS_Store │ ├── 1.1 Binomial products │ │ ├── .DS_Store │ │ ├── 1.1.1 Linear │ │ │ ├── 1.1.1.1 (a+b x)^m.m │ │ │ ├── 1.1.1.1 (a+b x)^m.nb │ │ │ ├── 1.1.1.2 (a+b x)^m (c+d x)^n.m │ │ │ ├── 1.1.1.2 (a+b x)^m (c+d x)^n.nb │ │ │ ├── 1.1.1.3 (a+b x)^m (c+d x)^n (e+f x)^p.m │ │ │ ├── 1.1.1.3 (a+b x)^m (c+d x)^n (e+f x)^p.nb │ │ │ ├── 1.1.1.4 (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^q.m │ │ │ ├── 1.1.1.4 (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^q.nb │ │ │ ├── 1.1.1.5 P(x) (a+b x)^m (c+d x)^n.m │ │ │ ├── 1.1.1.5 P(x) (a+b x)^m (c+d x)^n.nb │ │ │ ├── 1.1.1.6 P(x) (a+b x)^m (c+d x)^n (e+f x)^p.m │ │ │ ├── 1.1.1.6 P(x) (a+b x)^m (c+d x)^n (e+f x)^p.nb │ │ │ ├── 1.1.1.7 P(x) (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^q.m │ │ │ └── 1.1.1.7 P(x) (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^q.nb │ │ ├── 1.1.2 Quadratic │ │ │ ├── 1.1.2.1 (a+b x^2)^p.m │ │ │ ├── 1.1.2.1 (a+b x^2)^p.nb │ │ │ ├── 1.1.2.10 P(x) (a+b x^2)^p.m │ │ │ ├── 1.1.2.10 P(x) (a+b x^2)^p.nb │ │ │ ├── 1.1.2.11 P(x) (c x)^m (a+b x^2)^p.m │ │ │ ├── 1.1.2.11 P(x) (c x)^m (a+b x^2)^p.nb │ │ │ ├── 1.1.2.12 P(x) (c+d x)^n (a+b x^2)^p.m │ │ │ ├── 1.1.2.12 P(x) (c+d x)^n (a+b x^2)^p.nb │ │ │ ├── 1.1.2.13 P(x) (e x)^m (c+d x)^n (a+b x^2)^p.m │ │ │ ├── 1.1.2.13 P(x) (e x)^m (c+d x)^n (a+b x^2)^p.nb │ │ │ ├── 1.1.2.14 P(x) (c+d x)^m (e+f x)^n (a+b x^2)^p.m │ │ │ ├── 1.1.2.14 P(x) (c+d x)^m (e+f x)^n (a+b x^2)^p.nb │ │ │ ├── 1.1.2.2 (c x)^m (a+b x^2)^p.m │ │ │ ├── 1.1.2.2 (c x)^m (a+b x^2)^p.nb │ │ │ ├── 1.1.2.3 (a+b x^2)^p (c+d x^2)^q.m │ │ │ ├── 1.1.2.3 (a+b x^2)^p (c+d x^2)^q.nb │ │ │ ├── 1.1.2.4 (e x)^m (a+b x^2)^p (c+d x^2)^q.m │ │ │ ├── 1.1.2.4 (e x)^m (a+b x^2)^p (c+d x^2)^q.nb │ │ │ ├── 1.1.2.5 (a+b x^2)^p (c+d x^2)^q (e+f x^2)^r.m │ │ │ ├── 1.1.2.5 (a+b x^2)^p (c+d x^2)^q (e+f x^2)^r.nb │ │ │ ├── 1.1.2.6 (g x)^m (a+b x^2)^p (c+d x^2)^q (e+f x^2)^r.m │ │ │ ├── 1.1.2.6 (g x)^m (a+b x^2)^p (c+d x^2)^q (e+f x^2)^r.nb │ │ │ ├── 1.1.2.7 (c+d x)^n (a+b x^2)^p.m │ │ │ ├── 1.1.2.7 (c+d x)^n (a+b x^2)^p.nb │ │ │ ├── 1.1.2.8 (e x)^m (c+d x)^n (a+b x^2)^p.m │ │ │ ├── 1.1.2.8 (e x)^m (c+d x)^n (a+b x^2)^p.nb │ │ │ ├── 1.1.2.9 (c+d x)^m (e+f x)^n (a+b x^2)^p.m │ │ │ ├── 1.1.2.9 (c+d x)^m (e+f x)^n (a+b x^2)^p.nb │ │ │ ├── 1.1.2.x P(x) (a+b x^2)^p.m │ │ │ └── 1.1.2.y P(x) (c x)^m (a+b x^2)^p.m │ │ ├── 1.1.3 General │ │ │ ├── 1.1.3.1 (a+b x^n)^p.m │ │ │ ├── 1.1.3.1 (a+b x^n)^p.nb │ │ │ ├── 1.1.3.2 (c x)^m (a+b x^n)^p.m │ │ │ ├── 1.1.3.2 (c x)^m (a+b x^n)^p.nb │ │ │ ├── 1.1.3.3 (a+b x^n)^p (c+d x^n)^q.m │ │ │ ├── 1.1.3.3 (a+b x^n)^p (c+d x^n)^q.nb │ │ │ ├── 1.1.3.4 (e x)^m (a+b x^n)^p (c+d x^n)^q.m │ │ │ ├── 1.1.3.4 (e x)^m (a+b x^n)^p (c+d x^n)^q.nb │ │ │ ├── 1.1.3.5 (a+b x^n)^p (c+d x^n)^q (e+f x^n)^r.m │ │ │ ├── 1.1.3.5 (a+b x^n)^p (c+d x^n)^q (e+f x^n)^r.nb │ │ │ ├── 1.1.3.6 (g x)^m (a+b x^n)^p (c+d x^n)^q (e+f x^n)^r.m │ │ │ ├── 1.1.3.6 (g x)^m (a+b x^n)^p (c+d x^n)^q (e+f x^n)^r.nb │ │ │ ├── 1.1.3.7 P(x) (a+b x^n)^p.m │ │ │ ├── 1.1.3.7 P(x) (a+b x^n)^p.nb │ │ │ ├── 1.1.3.8 P(x) (c x)^m (a+b x^n)^p.m │ │ │ └── 1.1.3.8 P(x) (c x)^m (a+b x^n)^p.nb │ │ └── 1.1.4 Improper │ │ │ ├── 1.1.4.1 (a x^j+b x^n)^p.m │ │ │ ├── 1.1.4.1 (a x^j+b x^n)^p.nb │ │ │ ├── 1.1.4.2 (c x)^m (a x^j+b x^n)^p.m │ │ │ ├── 1.1.4.2 (c x)^m (a x^j+b x^n)^p.nb │ │ │ ├── 1.1.4.3 (e x)^m (a x^j+b x^k)^p (c+d x^n)^q.m │ │ │ ├── 1.1.4.3 (e x)^m (a x^j+b x^k)^p (c+d x^n)^q.nb │ │ │ ├── 1.1.4.4 P(x) (c x)^m (a x^j+b x^n)^p.m │ │ │ └── 1.1.4.4 P(x) (c x)^m (a x^j+b x^n)^p.nb │ ├── 1.2 Trinomial products │ │ ├── .DS_Store │ │ ├── 1.2.1 Quadratic │ │ │ ├── 1.2.1.1 (a+b x+c x^2)^p.m │ │ │ ├── 1.2.1.1 (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.2 (d+e x)^m (a+b x+c x^2)^p.m │ │ │ ├── 1.2.1.2 (d+e x)^m (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.3 (d+e x)^m (f+g x) (a+b x+c x^2)^p.m │ │ │ ├── 1.2.1.3 (d+e x)^m (f+g x)^n (a+b x+c x^2)^p.m │ │ │ ├── 1.2.1.3 (d+e x)^m (f+g x)^n (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.4 (a+b x+c x^2)^p (d+e x+f x^2)^q.m │ │ │ ├── 1.2.1.4 (a+b x+c x^2)^p (d+e x+f x^2)^q.nb │ │ │ ├── 1.2.1.4 (d+e x)^m (f+g x)^n (a+b x+c x^2)^p.m │ │ │ ├── 1.2.1.5 (a+b x+c x^2)^p (d+e x+f x^2)^q.m │ │ │ ├── 1.2.1.5 (g+h x)^m (a+b x+c x^2)^p (d+e x+f x^2)^q.m │ │ │ ├── 1.2.1.5 (g+h x)^m (a+b x+c x^2)^p (d+e x+f x^2)^q.nb │ │ │ ├── 1.2.1.6 (g+h x)^m (a+b x+c x^2)^p (d+e x+f x^2)^q.m │ │ │ ├── 1.2.1.6 P(x) (a+b x+c x^2)^p.m │ │ │ ├── 1.2.1.6 P(x) (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.7 (a+b x+c x^2)^p (d+e x+f x^2)^q (A+B x+C x^2).m │ │ │ ├── 1.2.1.7 P(x) (d+e x)^m (a+b x+c x^2)^p.m │ │ │ ├── 1.2.1.7 P(x) (d+e x)^m (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.8 P(x) (a+b x+c x^2)^p.m │ │ │ ├── 1.2.1.8 P(x) (d+e x)^m (f+g x)^n (a+b x+c x^2)^p.m │ │ │ ├── 1.2.1.8 P(x) (d+e x)^m (f+g x)^n (a+b x+c x^2)^p.nb │ │ │ ├── 1.2.1.9 P(x) (a+b x+c x^2)^p (d+e x+f x^2)^q.m │ │ │ ├── 1.2.1.9 P(x) (a+b x+c x^2)^p (d+e x+f x^2)^q.nb │ │ │ └── 1.2.1.9 P(x) (d+e x)^m (a+b x+c x^2)^p.m │ │ ├── 1.2.2 Quartic │ │ │ ├── 1.2.2.1 (a+b x^2+c x^4)^p.m │ │ │ ├── 1.2.2.1 (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.2 (d x)^m (a+b x^2+c x^4)^p.m │ │ │ ├── 1.2.2.2 (d x)^m (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.3 (d+e x^2)^q (a+b x^2+c x^4)^p.m │ │ │ ├── 1.2.2.3 (d+e x^2)^q (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.4 (f x)^m (d+e x^2)^q (a+b x^2+c x^4)^p.m │ │ │ ├── 1.2.2.4 (f x)^m (d+e x^2)^q (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.5 P(x) (a+b x^2+c x^4)^p.m │ │ │ ├── 1.2.2.5 P(x) (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.6 P(x) (d x)^m (a+b x^2+c x^4)^p.m │ │ │ ├── 1.2.2.6 P(x) (d x)^m (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.7 P(x) (d+e x^2)^q (a+b x^2+c x^4)^p.m │ │ │ ├── 1.2.2.7 P(x) (d+e x^2)^q (a+b x^2+c x^4)^p.nb │ │ │ ├── 1.2.2.8 P(x) (d+e x)^q (a+b x^2+c x^4)^p.m │ │ │ └── 1.2.2.8 P(x) (d+e x)^q (a+b x^2+c x^4)^p.nb │ │ ├── 1.2.3 General │ │ │ ├── 1.2.3.1 (a+b x^n+c x^(2 n))^p.m │ │ │ ├── 1.2.3.1 (a+b x^n+c x^(2 n))^p.nb │ │ │ ├── 1.2.3.2 (d x)^m (a+b x^n+c x^(2 n))^p.m │ │ │ ├── 1.2.3.2 (d x)^m (a+b x^n+c x^(2 n))^p.nb │ │ │ ├── 1.2.3.3 (d+e x^n)^q (a+b x^n+c x^(2 n))^p.m │ │ │ ├── 1.2.3.3 (d+e x^n)^q (a+b x^n+c x^(2 n))^p.nb │ │ │ ├── 1.2.3.4 (f x)^m (d+e x^n)^q (a+b x^n+c x^(2 n))^p.m │ │ │ ├── 1.2.3.4 (f x)^m (d+e x^n)^q (a+b x^n+c x^(2 n))^p.nb │ │ │ ├── 1.2.3.5 P(x) (a+b x^n+c x^(2 n))^p.m │ │ │ ├── 1.2.3.5 P(x) (a+b x^n+c x^(2 n))^p.nb │ │ │ ├── 1.2.3.6 P(x) (d x)^m (a+b x^n+c x^(2 n))^p.m │ │ │ └── 1.2.3.6 P(x) (d x)^m (a+b x^n+c x^(2 n))^p.nb │ │ └── 1.2.4 Improper │ │ │ ├── 1.2.4.1 (a x^q+b x^n+c x^(2 n-q))^p.m │ │ │ ├── 1.2.4.1 (a x^q+b x^n+c x^(2 n-q))^p.nb │ │ │ ├── 1.2.4.2 (d x)^m (a x^q+b x^n+c x^(2 n-q))^p.m │ │ │ ├── 1.2.4.2 (d x)^m (a x^q+b x^n+c x^(2 n-q))^p.nb │ │ │ ├── 1.2.4.3 (d+e x^(n-q)) (a x^q+b x^n+c x^(2 n-q))^p.m │ │ │ ├── 1.2.4.3 (d+e x^(n-q)) (a x^q+b x^n+c x^(2 n-q))^p.nb │ │ │ ├── 1.2.4.4 (f x)^m (d+e x^(n-q)) (a x^q+b x^n+c x^(2 n-q))^p.m │ │ │ └── 1.2.4.4 (f x)^m (d+e x^(n-q)) (a x^q+b x^n+c x^(2 n-q))^p.nb │ ├── 1.3 Miscellaneous │ │ ├── 1.3.1 P(x)^p.m │ │ ├── 1.3.2 P(x) Q(x)^p.m │ │ ├── 1.3.3 Miscellaneous algebraic functions.m │ │ └── 1.3.4 Normalizing algebraic functions.m │ ├── 1.3 Polynomial products │ │ ├── 1.3.1 u (a+b x+c x^2+d x^3)^p.m │ │ ├── 1.3.1 u (a+b x+c x^2+d x^3)^p.nb │ │ ├── 1.3.2 u (a+b x+c x^2+d x^3+e x^4)^p.m │ │ ├── 1.3.2 u (a+b x+c x^2+d x^3+e x^4)^p.nb │ │ ├── 1.3.3 P(x)^p.m │ │ ├── 1.3.3 P(x)^p.nb │ │ ├── 1.3.4 P(x) Q(x)^p.m │ │ └── 1.3.4 P(x) Q(x)^p.nb │ └── 1.4 Miscellaneous │ │ ├── 1.4.1 Algebraic function simplification.m │ │ ├── 1.4.1 Algebraic function simplification.nb │ │ ├── 1.4.2 Algebraic function normalization.m │ │ ├── 1.4.2 Algebraic function normalization.nb │ │ ├── 1.4.3 Miscellaneous algebraic functions.m │ │ └── 1.4.3 Miscellaneous algebraic functions.nb ├── 2 Exponentials │ ├── 2.1 (c+d x)^m (a+b (F^(g (e+f x)))^n)^p.m │ ├── 2.1 (c+d x)^m (a+b (F^(g (e+f x)))^n)^p.nb │ ├── 2.2 (c+d x)^m (F^(g (e+f x)))^n (a+b (F^(g (e+f x)))^n)^p.m │ ├── 2.2 (c+d x)^m (F^(g (e+f x)))^n (a+b (F^(g (e+f x)))^n)^p.nb │ ├── 2.3 Miscellaneous exponentials.m │ └── 2.3 Miscellaneous exponentials.nb ├── 3 Logarithms │ ├── 3.1.1 (a+b log(c x^n))^p.m │ ├── 3.1.1 (a+b log(c x^n))^p.nb │ ├── 3.1.2 (d x)^m (a+b log(c x^n))^p.m │ ├── 3.1.2 (d x)^m (a+b log(c x^n))^p.nb │ ├── 3.1.3 (d+e x^r)^q (a+b log(c x^n))^p.m │ ├── 3.1.3 (d+e x^r)^q (a+b log(c x^n))^p.nb │ ├── 3.1.4 (f x)^m (d+e x^r)^q (a+b log(c x^n))^p.m │ ├── 3.1.4 (f x)^m (d+e x^r)^q (a+b log(c x^n))^p.nb │ ├── 3.1.5 u (a+b log(c x^n))^p.m │ ├── 3.1.5 u (a+b log(c x^n))^p.nb │ ├── 3.2.1 (f+g x)^m (A+B log(e ((a+b x) over (c+d x))^n))^p.m │ ├── 3.2.1 (f+g x)^m (A+B log(e ((a+b x) over (c+d x))^n))^p.nb │ ├── 3.2.2 (f+g x)^m (h+i x)^q (A+B log(e ((a+b x) over (c+d x))^n))^p.m │ ├── 3.2.2 (f+g x)^m (h+i x)^q (A+B log(e ((a+b x) over (c+d x))^n))^p.nb │ ├── 3.2.3 u log(e (f (a+b x)^p (c+d x)^q)^r)^s.m │ ├── 3.2.3 u log(e (f (a+b x)^p (c+d x)^q)^r)^s.nb │ ├── 3.3 u (a+b log(c (d+e x)^n))^p.m │ ├── 3.3 u (a+b log(c (d+e x)^n))^p.nb │ ├── 3.4 u (a+b log(c (d+e x^m)^n))^p.m │ ├── 3.4 u (a+b log(c (d+e x^m)^n))^p.nb │ ├── 3.5 Miscellaneous logarithms.m │ └── 3.5 Miscellaneous logarithms.nb ├── 4 Trig functions │ ├── .DS_Store │ ├── 4.1 Sine │ │ ├── 4.1.0.1 (a sin)^m (b trg)^n.m │ │ ├── 4.1.0.1 (a sin)^m (b trg)^n.nb │ │ ├── 4.1.0.2 (a trg)^m (b tan)^n.m │ │ ├── 4.1.0.2 (a trg)^m (b tan)^n.nb │ │ ├── 4.1.0.3 (a csc)^m (b sec)^n.m │ │ ├── 4.1.0.3 (a csc)^m (b sec)^n.nb │ │ ├── 4.1.1.1 (a+b sin)^n.m │ │ ├── 4.1.1.1 (a+b sin)^n.nb │ │ ├── 4.1.1.2 (g cos)^p (a+b sin)^m.m │ │ ├── 4.1.1.2 (g cos)^p (a+b sin)^m.nb │ │ ├── 4.1.1.3 (g tan)^p (a+b sin)^m.m │ │ ├── 4.1.1.3 (g tan)^p (a+b sin)^m.nb │ │ ├── 4.1.10 (c+d x)^m (a+b sin)^n.m │ │ ├── 4.1.10 (c+d x)^m (a+b sin)^n.nb │ │ ├── 4.1.11 (e x)^m (a+b x^n)^p sin.m │ │ ├── 4.1.11 (e x)^m (a+b x^n)^p sin.nb │ │ ├── 4.1.12 (e x)^m (a+b sin(c+d x^n))^p.m │ │ ├── 4.1.12 (e x)^m (a+b sin(c+d x^n))^p.nb │ │ ├── 4.1.13 (d+e x)^m sin(a+b x+c x^2)^n.m │ │ ├── 4.1.13 (d+e x)^m sin(a+b x+c x^2)^n.nb │ │ ├── 4.1.2.1 (a+b sin)^m (c+d sin)^n.m │ │ ├── 4.1.2.1 (a+b sin)^m (c+d sin)^n.nb │ │ ├── 4.1.2.2 (g cos)^p (a+b sin)^m (c+d sin)^n.m │ │ ├── 4.1.2.2 (g cos)^p (a+b sin)^m (c+d sin)^n.nb │ │ ├── 4.1.2.3 (g sin)^p (a+b sin)^m (c+d sin)^n.m │ │ ├── 4.1.2.3 (g sin)^p (a+b sin)^m (c+d sin)^n.nb │ │ ├── 4.1.3.1 (a+b sin)^m (c+d sin)^n (A+B sin).m │ │ ├── 4.1.3.1 (a+b sin)^m (c+d sin)^n (A+B sin).nb │ │ ├── 4.1.4.1 (a+b sin)^m (A+B sin+C sin^2).m │ │ ├── 4.1.4.1 (a+b sin)^m (A+B sin+C sin^2).nb │ │ ├── 4.1.4.2 (a+b sin)^m (c+d sin)^n (A+B sin+C sin^2).m │ │ ├── 4.1.4.2 (a+b sin)^m (c+d sin)^n (A+B sin+C sin^2).nb │ │ ├── 4.1.5 trig^m (a cos+b sin)^n.m │ │ ├── 4.1.5 trig^m (a cos+b sin)^n.nb │ │ ├── 4.1.6 (a+b cos+c sin)^n.m │ │ ├── 4.1.6 (a+b cos+c sin)^n.nb │ │ ├── 4.1.7 (d trig)^m (a+b (c sin)^n)^p.m │ │ ├── 4.1.7 (d trig)^m (a+b (c sin)^n)^p.nb │ │ ├── 4.1.8 trig^m (a+b cos^p+c sin^q)^n.m │ │ ├── 4.1.8 trig^m (a+b cos^p+c sin^q)^n.nb │ │ ├── 4.1.9 trig^m (a+b sin^n+c sin^(2 n))^p.m │ │ └── 4.1.9 trig^m (a+b sin^n+c sin^(2 n))^p.nb │ ├── 4.3 Tangent │ │ ├── 4.3.1.1 (a+b tan)^n.m │ │ ├── 4.3.1.1 (a+b tan)^n.nb │ │ ├── 4.3.1.2 (d sec)^m (a+b tan)^n.m │ │ ├── 4.3.1.2 (d sec)^m (a+b tan)^n.nb │ │ ├── 4.3.1.3 (d sin)^m (a+b tan)^n.m │ │ ├── 4.3.1.3 (d sin)^m (a+b tan)^n.nb │ │ ├── 4.3.10 (c+d x)^m (a+b tan)^n.m │ │ ├── 4.3.10 (c+d x)^m (a+b tan)^n.nb │ │ ├── 4.3.11 (e x)^m (a+b tan(c+d x^n))^p.m │ │ ├── 4.3.11 (e x)^m (a+b tan(c+d x^n))^p.nb │ │ ├── 4.3.12 (d+e x)^m tan(a+b x+c x^2)^n.m │ │ ├── 4.3.12 (d+e x)^m tan(a+b x+c x^2)^n.nb │ │ ├── 4.3.2.1 (a+b tan)^m (c+d tan)^n.m │ │ ├── 4.3.2.1 (a+b tan)^m (c+d tan)^n.nb │ │ ├── 4.3.2.3 (g tan)^p (a+b tan)^m (c+d tan)^n.m │ │ ├── 4.3.2.3 (g tan)^p (a+b tan)^m (c+d tan)^n.nb │ │ ├── 4.3.3.1 (a+b tan)^m (c+d tan)^n (A+B tan).m │ │ ├── 4.3.3.1 (a+b tan)^m (c+d tan)^n (A+B tan).nb │ │ ├── 4.3.4.1 (a+b tan)^m (A+B tan+C tan^2).m │ │ ├── 4.3.4.1 (a+b tan)^m (A+B tan+C tan^2).nb │ │ ├── 4.3.4.2 (a+b tan)^m (c+d tan)^n (A+B tan+C tan^2).m │ │ ├── 4.3.4.2 (a+b tan)^m (c+d tan)^n (A+B tan+C tan^2).nb │ │ ├── 4.3.7 (d trig)^m (a+b (c tan)^n)^p.m │ │ ├── 4.3.7 (d trig)^m (a+b (c tan)^n)^p.nb │ │ ├── 4.3.9 trig^m (a+b tan^n+c tan^(2 n))^p.m │ │ └── 4.3.9 trig^m (a+b tan^n+c tan^(2 n))^p.nb │ ├── 4.5 Secant │ │ ├── 4.5.1.1 (a+b sec)^n.m │ │ ├── 4.5.1.1 (a+b sec)^n.nb │ │ ├── 4.5.1.2 (d sec)^n (a+b sec)^m.m │ │ ├── 4.5.1.2 (d sec)^n (a+b sec)^m.nb │ │ ├── 4.5.1.3 (d sin)^n (a+b sec)^m.m │ │ ├── 4.5.1.3 (d sin)^n (a+b sec)^m.nb │ │ ├── 4.5.1.4 (d tan)^n (a+b sec)^m.m │ │ ├── 4.5.1.4 (d tan)^n (a+b sec)^m.nb │ │ ├── 4.5.10 (c+d x)^m (a+b sec)^n.m │ │ ├── 4.5.10 (c+d x)^m (a+b sec)^n.nb │ │ ├── 4.5.11 (e x)^m (a+b sec(c+d x^n))^p.m │ │ ├── 4.5.11 (e x)^m (a+b sec(c+d x^n))^p.nb │ │ ├── 4.5.2.1 (a+b sec)^m (c+d sec)^n.m │ │ ├── 4.5.2.1 (a+b sec)^m (c+d sec)^n.nb │ │ ├── 4.5.2.2 (g sec)^p (a+b sec)^m (c+d sec)^n.m │ │ ├── 4.5.2.2 (g sec)^p (a+b sec)^m (c+d sec)^n.nb │ │ ├── 4.5.3.1 (a+b sec)^m (d sec)^n (A+B sec).m │ │ ├── 4.5.3.1 (a+b sec)^m (d sec)^n (A+B sec).nb │ │ ├── 4.5.4.1 (a+b sec)^m (A+B sec+C sec^2).m │ │ ├── 4.5.4.1 (a+b sec)^m (A+B sec+C sec^2).nb │ │ ├── 4.5.4.2 (a+b sec)^m (d sec)^n (A+B sec+C sec^2).m │ │ ├── 4.5.4.2 (a+b sec)^m (d sec)^n (A+B sec+C sec^2).nb │ │ ├── 4.5.7 (d trig)^m (a+b (c sec)^n)^p.m │ │ ├── 4.5.7 (d trig)^m (a+b (c sec)^n)^p.nb │ │ ├── 4.5.9 trig^m (a+b sec^n+c sec^(2 n))^p.m │ │ └── 4.5.9 trig^m (a+b sec^n+c sec^(2 n))^p.nb │ └── 4.7 Miscellaneous │ │ ├── (a sin(m x) + b cos(n x))^p.m │ │ ├── (a sin(m x) + b cos(n x))^p.nb │ │ ├── (a sin(m x) + b cos(n x))^p.pdf │ │ ├── 4.7.1 Sine normalization rules.m │ │ ├── 4.7.1 Sine normalization rules.nb │ │ ├── 4.7.2 Tangent normalization rules.m │ │ ├── 4.7.2 Tangent normalization rules.nb │ │ ├── 4.7.3 Secant normalization rules.m │ │ ├── 4.7.3 Secant normalization rules.nb │ │ ├── 4.7.4 (c trig)^m (d trig)^n.m │ │ ├── 4.7.4 (c trig)^m (d trig)^n.nb │ │ ├── 4.7.5 Inert trig functions.m │ │ ├── 4.7.5 Inert trig functions.nb │ │ ├── 4.7.6 (c+d x)^m trig(a+b x)^n trig(a+b x)^p.m │ │ ├── 4.7.6 (c+d x)^m trig(a+b x)^n trig(a+b x)^p.nb │ │ ├── 4.7.7 F^(c (a+b x)) trig(d+e x)^n.m │ │ ├── 4.7.7 F^(c (a+b x)) trig(d+e x)^n.nb │ │ ├── 4.7.8 u trig(a+b log(c x^n))^p.m │ │ ├── 4.7.8 u trig(a+b log(c x^n))^p.nb │ │ ├── 4.7.9 Active trig functions.m │ │ └── 4.7.9 Active trig functions.nb ├── 5 Inverse trig functions │ ├── .DS_Store │ ├── 5.1 Inverse sine │ │ ├── 5.1.1 (a+b arcsin(c x))^n.m │ │ ├── 5.1.1 (a+b arcsin(c x))^n.nb │ │ ├── 5.1.2 (d x)^m (a+b arcsin(c x))^n.m │ │ ├── 5.1.2 (d x)^m (a+b arcsin(c x))^n.nb │ │ ├── 5.1.3 (d+e x^2)^p (a+b arcsin(c x))^n.m │ │ ├── 5.1.3 (d+e x^2)^p (a+b arcsin(c x))^n.nb │ │ ├── 5.1.4 (f x)^m (d+e x^2)^p (a+b arcsin(c x))^n.m │ │ ├── 5.1.4 (f x)^m (d+e x^2)^p (a+b arcsin(c x))^n.nb │ │ ├── 5.1.5 u (a+b arcsin(c x))^n.m │ │ ├── 5.1.5 u (a+b arcsin(c x))^n.nb │ │ ├── 5.1.6 Miscellaneous inverse sine.m │ │ └── 5.1.6 Miscellaneous inverse sine.nb │ ├── 5.3 Inverse tangent │ │ ├── 5.3.1 (a+b arctan(c x^n))^p.m │ │ ├── 5.3.1 (a+b arctan(c x^n))^p.nb │ │ ├── 5.3.2 (d x)^m (a+b arctan(c x^n))^p.m │ │ ├── 5.3.2 (d x)^m (a+b arctan(c x^n))^p.nb │ │ ├── 5.3.3 (d+e x)^m (a+b arctan(c x^n))^p.m │ │ ├── 5.3.3 (d+e x)^m (a+b arctan(c x^n))^p.nb │ │ ├── 5.3.4 u (a+b arctan(c x))^p.m │ │ ├── 5.3.4 u (a+b arctan(c x))^p.nb │ │ ├── 5.3.5 u (a+b arctan(c+d x))^p.m │ │ ├── 5.3.5 u (a+b arctan(c+d x))^p.nb │ │ ├── 5.3.6 Exponentials of inverse tangent.m │ │ ├── 5.3.6 Exponentials of inverse tangent.nb │ │ ├── 5.3.7 Miscellaneous inverse tangent.m │ │ └── 5.3.7 Miscellaneous inverse tangent.nb │ └── 5.5 Inverse secant │ │ ├── 5.5.1 u (a+b arcsec(c x))^n.m │ │ ├── 5.5.1 u (a+b arcsec(c x))^n.nb │ │ ├── 5.5.2 Miscellaneous inverse secant.m │ │ └── 5.5.2 Miscellaneous inverse secant.nb ├── 6 Hyperbolic functions │ ├── .DS_Store │ ├── 6.1 Hyperbolic sine │ │ ├── 6.1.10 (c+d x)^m (a+b sinh)^n.m │ │ ├── 6.1.10 (c+d x)^m (a+b sinh)^n.nb │ │ ├── 6.1.11 (e x)^m (a+b x^n)^p sinh.m │ │ ├── 6.1.11 (e x)^m (a+b x^n)^p sinh.nb │ │ ├── 6.1.12 (e x)^m (a+b sinh(c+d x^n))^p.m │ │ ├── 6.1.12 (e x)^m (a+b sinh(c+d x^n))^p.nb │ │ ├── 6.1.13 (d+e x)^m sinh(a+b x+c x^2)^n.m │ │ └── 6.1.13 (d+e x)^m sinh(a+b x+c x^2)^n.nb │ ├── 6.3 Hyperbolic tangent │ │ ├── 6.3.10 (c+d x)^m (a+b tanh)^n.m │ │ ├── 6.3.10 (c+d x)^m (a+b tanh)^n.nb │ │ ├── 6.3.11 (e x)^m (a+b tanh(c+d x^n))^p.m │ │ ├── 6.3.11 (e x)^m (a+b tanh(c+d x^n))^p.nb │ │ ├── 6.3.12 (d+e x)^m tanh(a+b x+c x^2)^n.m │ │ └── 6.3.12 (d+e x)^m tanh(a+b x+c x^2)^n.nb │ ├── 6.5 Hyperbolic secant │ │ ├── 6.5.10 (c+d x)^m (a+b sech)^n.m │ │ ├── 6.5.10 (c+d x)^m (a+b sech)^n.nb │ │ ├── 6.5.11 (e x)^m (a+b sech(c+d x^n))^p.m │ │ └── 6.5.11 (e x)^m (a+b sech(c+d x^n))^p.nb │ └── 6.7 Miscellaneous │ │ ├── 6.7.6 (c+d x)^m hyper(a+b x)^n hyper(a+b x)^p.m │ │ ├── 6.7.6 (c+d x)^m hyper(a+b x)^n hyper(a+b x)^p.nb │ │ ├── 6.7.7 F^(c (a+b x)) hyper(d+e x)^n.m │ │ ├── 6.7.7 F^(c (a+b x)) hyper(d+e x)^n.nb │ │ ├── 6.7.8 u hyper(a+b log(c x^n))^p.m │ │ ├── 6.7.8 u hyper(a+b log(c x^n))^p.nb │ │ ├── 6.7.9 Active hyperbolic functions.m │ │ └── 6.7.9 Active hyperbolic functions.nb ├── 7 Inverse hyperbolic functions │ ├── .DS_Store │ ├── 7.1 Inverse hyperbolic sine │ │ ├── 7.1.1 (a+b arcsinh(c x))^n.m │ │ ├── 7.1.1 (a+b arcsinh(c x))^n.nb │ │ ├── 7.1.2 (d x)^m (a+b arcsinh(c x))^n.m │ │ ├── 7.1.2 (d x)^m (a+b arcsinh(c x))^n.nb │ │ ├── 7.1.3 (d+e x^2)^p (a+b arcsinh(c x))^n.m │ │ ├── 7.1.3 (d+e x^2)^p (a+b arcsinh(c x))^n.nb │ │ ├── 7.1.4 (f x)^m (d+e x^2)^p (a+b arcsinh(c x))^n.m │ │ ├── 7.1.4 (f x)^m (d+e x^2)^p (a+b arcsinh(c x))^n.nb │ │ ├── 7.1.5 u (a+b arcsinh(c x))^n.m │ │ ├── 7.1.5 u (a+b arcsinh(c x))^n.nb │ │ ├── 7.1.6 Miscellaneous inverse hyperbolic sine.m │ │ └── 7.1.6 Miscellaneous inverse hyperbolic sine.nb │ ├── 7.2 Inverse hyperbolic cosine │ │ ├── 7.2.1 (a+b arccosh(c x))^n.m │ │ ├── 7.2.1 (a+b arccosh(c x))^n.nb │ │ ├── 7.2.2 (d x)^m (a+b arccosh(c x))^n.m │ │ ├── 7.2.2 (d x)^m (a+b arccosh(c x))^n.nb │ │ ├── 7.2.3 (d+e x^2)^p (a+b arccosh(c x))^n.m │ │ ├── 7.2.3 (d+e x^2)^p (a+b arccosh(c x))^n.nb │ │ ├── 7.2.4 (f x)^m (d+e x^2)^p (a+b arccosh(c x))^n.m │ │ ├── 7.2.4 (f x)^m (d+e x^2)^p (a+b arccosh(c x))^n.nb │ │ ├── 7.2.5 u (a+b arccosh(c x))^n.m │ │ ├── 7.2.5 u (a+b arccosh(c x))^n.nb │ │ ├── 7.2.6 Miscellaneous inverse hyperbolic cosine.m │ │ └── 7.2.6 Miscellaneous inverse hyperbolic cosine.nb │ ├── 7.3 Inverse hyperbolic tangent │ │ ├── 7.3.1 (a+b arctanh(c x^n))^p.m │ │ ├── 7.3.1 (a+b arctanh(c x^n))^p.nb │ │ ├── 7.3.1 u (a+b arctanh(c x^n))^p.m │ │ ├── 7.3.2 (d x)^m (a+b arctanh(c x^n))^p.m │ │ ├── 7.3.2 (d x)^m (a+b arctanh(c x^n))^p.nb │ │ ├── 7.3.2 u (a+b arctanh(c+d x))^p.m │ │ ├── 7.3.3 (d+e x)^m (a+b arctanh(c x^n))^p.m │ │ ├── 7.3.3 (d+e x)^m (a+b arctanh(c x^n))^p.nb │ │ ├── 7.3.3 Exponentials of inverse hyperbolic tangent.m │ │ ├── 7.3.4 Miscellaneous inverse hyperbolic tangent.m │ │ ├── 7.3.4 u (a+b arctanh(c x))^p.m │ │ ├── 7.3.4 u (a+b arctanh(c x))^p.nb │ │ ├── 7.3.5 u (a+b arctanh(c+d x))^p.m │ │ ├── 7.3.5 u (a+b arctanh(c+d x))^p.nb │ │ ├── 7.3.6 Exponentials of inverse hyperbolic tangent.m │ │ ├── 7.3.6 Exponentials of inverse hyperbolic tangent.nb │ │ ├── 7.3.7 Miscellaneous inverse hyperbolic tangent.m │ │ └── 7.3.7 Miscellaneous inverse hyperbolic tangent.nb │ └── 7.5 Inverse hyperbolic secant │ │ ├── 7.5.1 u (a+b arcsech(c x))^n.m │ │ ├── 7.5.1 u (a+b arcsech(c x))^n.nb │ │ ├── 7.5.2 Miscellaneous inverse hyperbolic secant.m │ │ └── 7.5.2 Miscellaneous inverse hyperbolic secant.nb ├── 8 Special functions │ ├── 8.1 Error functions.m │ ├── 8.1 Error functions.nb │ ├── 8.10 Bessel functions.m │ ├── 8.10 Bessel functions.nb │ ├── 8.2 Fresnel integral functions.m │ ├── 8.2 Fresnel integral functions.nb │ ├── 8.3 Exponential integral functions.m │ ├── 8.3 Exponential integral functions.nb │ ├── 8.4 Trig integral functions.m │ ├── 8.4 Trig integral functions.nb │ ├── 8.5 Hyperbolic integral functions.m │ ├── 8.5 Hyperbolic integral functions.nb │ ├── 8.6 Gamma functions.m │ ├── 8.6 Gamma functions.nb │ ├── 8.7 Zeta function.m │ ├── 8.7 Zeta function.nb │ ├── 8.8 Polylogarithm function.m │ ├── 8.8 Polylogarithm function.nb │ ├── 8.9 Product logarithm function.m │ └── 8.9 Product logarithm function.nb └── 9 Miscellaneous │ ├── 9.1 Derivative integration rules.m │ ├── 9.1 Derivative integration rules.nb │ ├── 9.1 Integrand simplification rules.m │ ├── 9.2 Derivative integration rules.m │ ├── 9.2 Piecewise linear functions.m │ ├── 9.2 Piecewise linear functions.nb │ ├── 9.3 Miscellaneous integration rules.m │ ├── 9.3 Miscellaneous integration rules.nb │ ├── 9.3 Piecewise linear functions.m │ └── 9.4 Miscellaneous integration rules.m ├── IntegrationUtilityFunctions.m ├── Kernel ├── .DS_Store └── init.m ├── PacletInfo.m ├── Rubi.m ├── RubiPackageTools.m ├── ShowStepFormatting.m ├── ShowStepRoutines.m └── logo.png /.DS_Store: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/RuleBasedIntegration/Rubi/HEAD/.DS_Store -------------------------------------------------------------------------------- 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