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Calculus - Integrals

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What is the integral of arctan x?

  • Calculus - Integrals -

    Sorry. I lied.

    Misread the question.

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

  • Calculus - Integrals -

    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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