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Math Help - Double integral help please

  1. #1
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    Double integral help please

    Question is: evaluate by reversing the order of integration:

    int(0-4) int(sqrt(y)-2) (y exp(x^2))/x^3 dx dy

    (sorry about the crude way of expressing it, tried my best)

    I began by setting sqrt(y)<x<2, etc then got to:

    int(0-2) int(0-x^2) (y exp(x^2))/x^3 dy dx

    and then to:

    int(0-2) (x^2*exp(x^2))/2x dx


    could somebody please confirm for me that I am heading in the right direction, and the correct answer will be found when I solve that single integral equation? I've given it a go but to be honest I'm not very confident...

    cheers
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Quote Originally Posted by RossLeeds View Post

    I began by setting sqrt(y)<x<2, etc then got to:

    int(0-2) int(0-x^2) (y exp(x^2))/x^3 dy dx
    Yes, those are the right bounds.

    You can also make a sketch.
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