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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