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Math Help - Double integral problem

  1. #1
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    Double integral problem

    Dear MHF users!
    I'm having problems with this integral:



    because in the first step, i dont know how to integrate this part:

    Thanks a lot!
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  2. #2
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    Re: Double integral problem

    Quote Originally Posted by weber View Post
    Dear MHF users!
    I'm having problems with this integral:



    because in the first step, i dont know how to integrate this part:

    Thanks a lot!
    I am going to guess that there is a typo in your problem. You state you don't know how to integrage

    \iint xy^{xy^2}\, dy \, dx

    but then you say you don't know how to integrate e^{x^2y}

    My guess is you mean this integral

    \iint xye^{xy^2}\, dy \, dx

    If that is the case you need to use a substition

    u=e^{xy^2} \implies du=2xye^{xy^2}dy \iff \frac{du}{2}=xye^{xy^2}dy

    Now your integral is

    \frac{1}{2}\iint u \, du \, dx
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  3. #3
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    Re: Double integral problem

    OMG! you are 100% right!
    Sorry for my typo =/

    That's exactly what i wanted.

    TheEmptySet, you are awesome! (:
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