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Math Help - Changing order of integration

  1. #1
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    Changing order of integration

    Hello can anyone help me with chaging the order of integration? I'm not sure how to go about it.
    i Have to evaluate the double integral of 2(x^2)ysin(x(y^3)) dx dy. The limits are 1 and 0. And 1 and square root of y.
    But i'm not sure how to change the order of integration! i've tried drawing a diagram ut it went wrong. Can anybody help?
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  2. #2
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    Quote Originally Posted by studentsteve1202 View Post
    Hello can anyone help me with chaging the order of integration? I'm not sure how to go about it.
    i Have to evaluate the double integral of 2(x^2)ysin(x(y^3)) dx dy. The limits are 1 and 0. And 1 and square root of y.
    But i'm not sure how to change the order of integration! i've tried drawing a diagram ut it went wrong. Can anybody help?
    I can't see how your diagram can go wrong ....!?

    \int_{y=0}^{y=1} \int_{x = \sqrt{y}}^{x = 1} ..... dx \, dy = \int_{x=0}^{x=1} \int_{y = 0}^{y = x^2} ..... dy \, dx
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