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Math Help - Combining the sum of the double integrals

  1. #1
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    Combining the sum of the double integrals

    Hey Guys,

    I need help with combining this integral into one single integral. (No need to evaluate.)


    <br />
\int_{0}^{2}  \int_{0}^{x} \sqrt {x^2 + y^2} dydx +  \int_{0}^{2\sqrt 2}  \int_{0}^{\sqrt {8-x^2}} \sqrt {x^2 + y^2}<br />
dydx<br />

    I have drawn the images of my boundaries, but I have no clue where to go from there. I was thinking of using symmetry at first, but I don't know how to set it up properly.


    Thanks for any help,
    TJ
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  2. #2
    Moo
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    Hello,

    What about substituting into polar coordinates ?
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  3. #3
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    Oh, I must have accidentally erased that part...

    I did try in polar, but the r doesn't work.
    Or at least I'm not sure how to set it up for left integral and then adding them all up together.
    Last edited by ThePerfectHacker; May 12th 2008 at 07:42 PM.
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