oo / | | 4 | atan (x) | -------- dx | 2 | x + 1 | / -oo
Integral(atan(x)^4/(x^2 + 1), (x, -oo, oo))
Let .
Then let and substitute :
The integral of is when :
Now substitute back in:
Add the constant of integration:
The answer is:
/ | | 4 5 | atan (x) atan (x) | -------- dx = C + -------- | 2 5 | x + 1 | /
Use the examples entering the upper and lower limits of integration.