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Math Help - Integral of (9-y^2)^(1/2)

  1. #1
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    Integral of (9-y^2)^(1/2)

    How would I solve the integral (9-y^2)^(1/2)

    aka : sqrt(9-y^2)
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  2. #2
    Super Member Quacky's Avatar
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    Re: Integral of (9-y^2)^(1/2)

    You could use an appropriate substitution.

    At a guess, I'd consider letting y=3sin(x)
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  3. #3
    Member sbhatnagar's Avatar
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    Re: Integral of (9-y^2)^(1/2)

    \int \sqrt{a^2-x^2}dx=\frac{1}{2}[x\sqrt{a^2-x^2}+a^2\sin^{-1}(\frac{x}{a})]+K
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