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Thread: I need help with an integra

  1. February 26th 2010, 02:11 AM #1
    hoger
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    I need help with an integra

    hi!

    How do I solve the integral of:

    (x.arcsinx/squrt 1-x^2 )dx x bilongs (-1,1)

    thanks
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  2. February 26th 2010, 02:33 AM #2
    Ted
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    Quote Originally Posted by hoger View Post
    hi!

    How do I solve the integral of:

    (x.arcsinx/squrt 1-x^2 )dx x bilongs (-1,1)

    thanks
    \int_{-1}^1 \frac{x {\displaystyle } sin^{-1}(x)}{\sqrt{1-x^2}}dx is an improper integral.
    Re-write it in terms of limits.
    to evaluate the integral.
    Use t=sin^{-1}(x) then integration by parts.
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