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Math Help - integration ==help!

  1. #1
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    Unhappy integration ==help!

    the integration from 0 to 1 of 108t^9 * sqrt(1+36t^2 + 324t^4) dt

    thank you very much.
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  2. #2
    Eater of Worlds
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    Actually, this looks nastier than it is.

    Factor what's inside the radical:

    324t^{4}+36t^{2}+1=(18t^{2}+1)^{2}

    Then you have:

    \int{108t^{9}(18t^{2}+1)}dt

    \int{[1944t^{11}+108t^{9}]}dt
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