Integrals of Nested Elementary Functions

​
f(g(x))
allow resizing
∫
-1
csc
(coth(x))xx
-1
csc
(coth(x))-cosh(x)
2
sech
(x)
(-
Li
2
(-
x

)+
Li
2
(
x

)+x(log(1-
x

)-log(1+
x

)))
Indefinite integrals of nested elementary functions.

Details

Which of the indefinite integrals of nested elementary functions can be expressed in closed form through named special functions? Try it and find out!

External Links

Integral (Wolfram MathWorld)
Elementary Function (Wolfram MathWorld)

Permanent Citation

Michael Trott
​
​"Integrals of Nested Elementary Functions"​
​http://demonstrations.wolfram.com/IntegralsOfNestedElementaryFunctions/​
​Wolfram Demonstrations Project​
​Published: September 28, 2007