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Math Help - evaluating integral

  1. #1
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    evaluating integral

    Evaluate the integral by interpreting it in terms of areas.
    37. \int^0_{-3} (1+\sqrt{9-x^2})*dx
    the answer is 3+\frac{9}{4}*\pi
    Where .. the heck did \pi come from?
    I was trying to do
    \frac{b-a}{n}
     = \frac{0-3}{n}
    =\frac{-3}{n}

    and then x_{i} as \frac{-3i}{n}-3
    then plugging x_{i} into f(x)*dx then solving for the limit. It came out to be a super complicated root problem so I look in the back to see if I'm in the right track.. and theres a \pi in the answer...
    I think I'm missing something here... how is this integral end up having a \pi?
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  2. #2
    MHF Contributor matheagle's Avatar
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    delete this

    double post?
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  3. #3
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    oops, must've clicked submit two times, how do i delete this? or do i need a moderator?
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  4. #4
    MHF Contributor matheagle's Avatar
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    hit edit and look for where it says delete
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