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

What is the integral of arctan x?

  • Calculus - Integrals - , Thursday, March 13, 2008 at 9:43pm

    Sorry. I lied.

    Misread the question.

    What is the indefinite integral of arccot(4x) ?

  • Calculus - Integrals - , 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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