Posted by Sean on Thursday, March 13, 2008 at 9:43pm.
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.
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