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Math Help - Double Integral

  1. #1
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    Double Integral

    HELLO
    Problem:
    Evaluate \int_0^4 \int_{\sqrt x}^{2} e^{-y^3} dy dx
    Surely, I will reverse the order to :
     \int_0^2 \int_{y^2}^4 e^{-y^3} dx dy
    I want only to check the new integral
    Is the upper/lower limits correct??

    and which one is correct : "upper" or "uper" ?
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Note x varies from 0 to y^2 as y varies from 0 to 2

    See attachment for graph
    Attached Thumbnails Attached Thumbnails Double Integral-limits.jpg  
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