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Math Help - help with double integration plz

  1. #1
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    Post help with double integration plz

    find the double intetration of volume D (4/5xy+9/11x^2*y^2)dxdy if x=1 ; y=x^3 ; y=-x^1/2
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    infraction...
    Last edited by guigui51250; December 24th 2008 at 05:56 AM.
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  3. #3
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    Quote Originally Posted by Tommy View Post
    find the double intetration of volume D (4/5xy+9/11x^2*y^2)dxdy if x=1 ; y=x^3 ; y=-x^1/2
    Draw the region defined by the given curves. Then you will see that the double integral is the same as:

    \int_{x=0}^1 \int_{y = -x^{1/2}}^{y = x^3} \frac{4}{5} x y + \frac{9}{11} x^2 y^2 \, dy \, dx.

    It's much less work to do the integration in this order than the other way around (do yu see why?). Can you do the integrations?
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