oo / | | atan(x) | ------- dx | 2 | x + 1 | / 1
Integral(atan(x)/(x^2 + 1), (x, 1, oo))
Let .
Then let and substitute :
The integral of is when :
Now substitute back in:
Add the constant of integration:
The answer is:
/ | 2 | atan(x) atan (x) | ------- dx = C + -------- | 2 2 | x + 1 | /
2 3*pi ----- 32
=
2 3*pi ----- 32
3*pi^2/32
Use the examples entering the upper and lower limits of integration.