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Math Help - simple integration by parts question.

  1. #1
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    simple integration by parts question.

    Hi

    This is something i don't remember what I'm supposed to do. So anyway here goes.

    For example if my function was

    xe^yx and i wanted to integrate with respect to dx

    then i do an integration by parts with these variables:

    u = x dv = e^yx

    now my question is, when i try to find du do i differentiate with respect to x? same goes for dv, do i integrate with respect to dx?

    suppose instead i chose
    u = e^yx and dv = x

    then du would be ye^yx?

    Hopefully that was clear enough.
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  2. #2
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    \displaystyle u=x \ \mbox{and} \ du=dx \ \mbox{and} \ dv=e^{yx} \ \mbox{and} \ v=\frac{e^{yx}}{y}

    Now, solve:

    \displaystyle uv-\int vdu
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