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Math Help - integration by part

  1. #1
    Junior Member
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    integration by part

    hi..
    im struggling to get the right answer by integrating this function here by parts:

    integral[2e^(-1/2t)*sin(3t)dt]

    the answer seems to be -(24/37)e^(-t/2)*cos(3t)-(4/37)e^(-1/2t)*sin(3t)+c

    id appreciate all the steps with it since i want to see where ive gone wrong

    thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ramzouzy View Post
    hi..
    im struggling to get the right answer by integrating this function here by parts:

    integral[2e^(-1/2t)*sin(3t)dt]

    the answer seems to be -(24/37)e^(-t/2)*cos(3t)-(4/37)e^(-1/2t)*sin(3t)+c

    id appreciate all the steps with it since i want to see where ive gone wrong

    thanks

    Put:

    I=\int 2 e^{-t/2} \sin(3t)~dt


    Integrate by parts, then do so again and you will have a load of stuff plus a
    multiple of the original integral on the right hand side (which we are calling I).
    Now solve the equation for I.

    RonL
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