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Math Help - INTEGRAL!!

  1. #1
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    INTEGRAL!!

    The double integral



    solve by reversing the order of integration
    sketch the region
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  2. #2
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    Quote Originally Posted by AshleyS View Post
    The double integral



    solve by reversing the order of integration
    sketch the region
    Did you sketch the region defined by the integral terminals. It's the region inside the triangle bounded by the x-axis and the lines x = 1 and y = 2x.

    it should now be clear that your inetrgal can be written as

    \int_{x=0}^{x=1} \int_{y = 0}^{y = 2x} y \, e^{x^3} \, dy \, dx = \int_{x=0}^{x=1} e^{x^3} \, \int_{y = 0}^{y = 2x} y\, dy \, dx .

    Now integrate with respect to y. To do the integarl with respect to x, you should make an obvious substitution.
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    thanks that helped alot.
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