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Math Help - tough trigonometric indefinite integral

  1. #1
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    tough trigonometric indefinite integral

    \int\frac{1}{(\sin x)\sqrt{1-x^2}}dx

    I thought maybe we could let u=\arcsin x. Then we would have to solve

    \int\frac{1}{\sin(\sin u)}du.

    Unfortunately, I can't integrate that one either.

    Any help would be much appreciated!
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  2. #2
    Super Member
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    It does not exist in elementary terms. See this thread: Trouble with a seemingly trivial integral.
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