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Math Help - integration

  1. #1
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    integration

    I need some help integrating:

    \int^{18}_{0} \sqrt{\frac{1}{t}+1+\frac{9t}{2}}.
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  2. #2
    Super Member wingless's Avatar
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    I think you forgot to put dt.

    \int^{18}_{0} \sqrt{\frac{1}{t}+1+\frac{9t}{2}}~dt

    Well, this integral seems messy to me. Do you need the exact solution? I'd try approximations instead of finding the exact solution.
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  3. #3
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    Yes I do need the exact solution. I was thinking of using integration by parts, but I didn't really get anywhere.
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  4. #4
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    would it be:

    \int \sqrt{\frac{1}{t}+1+\frac{9t}{2}} = t \sqrt{\frac{1}{t} +1 + \frac{9t}{2}} - \frac{1}{2} \left( \frac{1}{t} + 1 + \frac{9t}{2} \right) ^{- \frac{1}{2}} \times \left( \frac{1}{t} + \frac{9t}{2} \right)
    Last edited by lllll; March 15th 2008 at 06:37 PM.
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