What is the integral of arctan x?
Calculus - Integrals - Sean, Thursday, March 13, 2008 at 9:43pm
Sorry. I lied.
Misread the question.
What is the indefinite integral of arccot(4x) ?
Calculus - Integrals - Count Iblis, Friday, March 14, 2008 at 9:33am
arccot is simply related to arctan:
arccot(x) = pi/2 - arctan(x)
You can integrate arctan using partial integration. You get x arctan(x) - integral of xdx/(x^2+1), the latter integrand contans in the denominater the derivative of the numerator (up to a factor 2), so you get a logarithmic function.