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Math Help - help with an integral involving the exp function

  1. #1
    xnr
    xnr is offline
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    help with an integral involving the exp function

    Hi everyone

    I've been dealing with a rather difficult (at least for me) integration problem which I am not able to find in integration tables I've been consulting.
    After a variable transformation I ended up with the following sets of integrals:

    \int e^{y}/y^{2}dy from 0 to t (t is not infinity) and

    \int e^{y}/y^{3}dy also from 0 to t

    I ended up with these starting from

    \int A*e^{B/(C-D*x)}*xdx (A,B,C and D are constants) from 0 to infinity and using the transform

    y=B/(C-D*x)

    any ideas?

    thanks
    xnr
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  2. #2
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    You should be able to use integration by parts to get the indefinite integrals - eg for the first, apply once to get the integral e^y/y, then integrating this by parts gives you an integral of e^y * ln y. Apply parts once more and you should be able to get the result
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