1 / | | 3 | atan (x) | -------- dx | 2 | 1 + x | / 0
Integral(atan(x)^3/(1 + x^2), (x, 0, 1))
Let .
Then let and substitute :
The integral of is when :
Now substitute back in:
Add the constant of integration:
The answer is:
/ | | 3 4 | atan (x) atan (x) | -------- dx = C + -------- | 2 4 | 1 + x | /
4 pi ---- 1024
=
4 pi ---- 1024
pi^4/1024
Use the examples entering the upper and lower limits of integration.