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Math Help - area bewteen curves

  1. #1
    Senior Member polymerase's Avatar
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    area bewteen curves

    FInd the area bewteen the curves x=y^2 and the RIGHT semi-circle x^2+y^2=2
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  2. #2
    Super Member wingless's Avatar
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    The equations are,
    x=y^2
    x=\sqrt{2-y^2}





    Set up the integral, find the bounds..

    \int^{1}_{-1} \int^{\sqrt{2-y^2}}_{y^2}~dx~dy
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  3. #3
    Senior Member polymerase's Avatar
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    i havent learned double integrals.....so how do you do it using single integrals....or is there another way?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by polymerase View Post
    i havent learned double integrals.....so how do you do it using single integrals....or is there another way?
    \int_{-1}^1 (\sqrt{2 - y^2} - y^2)~dy is fine
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  5. #5
    Senior Member polymerase's Avatar
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    For this particular question, my professor said, "There is a very fasy (altervative, not double integral) way to do this problem! Think about it!" of course he doesn't tell us!

    Any idea what the "very fast" way is?
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