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Math Help - [SOLVED] Integral

  1. #1
    Burtsemily
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    [SOLVED] Integral

    Evaluate the integral int_{-1,3} (t^3)(4 + t^3)^(-1/2) dt,
    given that

    int_{-1,3} (4 + t^3)^(1/2) dt = 11.35.

    Leave the answer in terms of sqrt(3) and sqrt(31).

    Thanks in advance
    Last edited by Burtsemily; May 21st 2007 at 12:02 AM. Reason: The integral looks a little messy, let me fix it up a little:
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Burtsemily View Post
    Evaluate the integral int_{-1,3} (t^3)(4 + t^3)^(-1/2) dt,
    given that

    int_{-1,3} (4 + t^3)^(1/2) dt = 11.35.

    Leave the answer in terms of sqrt(3) and sqrt(31).

    Thanks in advance
    Write:

    int_{-1,3} (t^3)(4 + t^3)^(-1/2) dt = int_{-1,3} [t] [(t^2)(4 + t^3)^(-1/2)] dt

    then use integrtation by parts with u = t and dv = [(t^2)(4 + t^3)^(-1/2)]

    RonL
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