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Math Help - Trigonometric Integral

  1. #1
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    Trigonometric Integral

    Could somebody please help me evaluate the following?

    The integral of arctan(x)arcsin(x)arcsinh(x)dx between -1 and 1.

    Apologies for the formatting, I'll learn the tags as soon as possible =)
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  2. #2
    Behold, the power of SARDINES!
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    Re: Trigonometric Integral

    Quote Originally Posted by AlexCatran View Post
    Could somebody please help me evaluate the following?

    The integral of arctan(x)arcsin(x)arcsinh(x)dx between -1 and 1.

    Apologies for the formatting, I'll learn the tags as soon as possible =)
    All three functions are odd. The product of three odd functions is odd. The integral of an odd function over a symetric interval is zero.

    \int_{-1}^{1}\tan^{-1}(x)\sin^{-1}(x)\sinh^{-1}(x)dx=0
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    Re: Trigonometric Integral

    That's fantastic, thank you.
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