1 / | | acot(x) | ------- dx | 2 | / 0
Integral(acot(x)/2, (x, 0, 1))
The integral of a constant times a function is the constant times the integral of the function:
Don't know the steps in finding this integral.
But the integral is
So, the result is:
Add the constant of integration:
The answer is:
/ | / 2\ | acot(x) log\1 + x / x*acot(x) | ------- dx = C + ----------- + --------- | 2 4 2 | /
log(2) pi ------ + -- 4 8
=
log(2) pi ------ + -- 4 8
log(2)/4 + pi/8
Use the examples entering the upper and lower limits of integration.