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Math Help - area integral on a circle

  1. #1
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    area integral on a circle

    any help for this ...

    Given the function f : f(x,y)=(4-x^2)^{-y^2/2}

    which is on a circle area D={x^2+y^2\leq 4}<br />

    with center (0,0) and radius of 2.

    compute  \int \int_{D}^{.}f(x,y)
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  2. #2
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    Re: area integral on a circle

    What kind of help do you want? Do you know how to integrate at all? Integrating over a disc is a fairly standard problem in Calculus. Do you have any idea how to find the limits of integration in xy coordinates? What about polar coordinates?
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  3. #3
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    Re: area integral on a circle

    yes i would like the solution please.
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  4. #4
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    Re: area integral on a circle

    any help ?????????
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  5. #5
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    Re: area integral on a circle

    Quote Originally Posted by kotsos View Post
    yes i would like the solution please.
    You won't get the solution here. You can get hints, but you are expected to do your OWN work!

    As was suggested, try converting everything to polars.
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