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Math Help - integration using tables

  1. #1
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    integration using tables

    i need to find the integral of: sin^-1 (x^1/2) what substituion should i use and what identity do i need to use to do this?
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  2. #2
    Eater of Worlds
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    There are always various ways to tackle these, but you could try parts.

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

    Let u=sin^{-1}(\sqrt{x})dx, \;\ dv=dx, \;\ du=\frac{1}{2\sqrt{x(1-x)}}dx, \;\ v=x

    This leads to:

    xsin^{-1}(\sqrt{x})+\int\sqrt{1-u^{2}}du

    Now, continue?.
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