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Thread: Finding the Integral (probably using partial fractions)

  1. #1
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    Finding the Integral (probably using partial fractions)

    So, our teacher taught us this new method of solving integrals which I thought was so much easier than trig substitution! But as she was going through it, I did not fully understand. I knew it was fully logical though. The problems on the board seemed so much easier than this problem




    I got this as my answer: (log[-5 + e^x] - log[6 + e^x])/11

    But my teacher told me to try again. What did I do wrong?
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by C.C. View Post
    So, our teacher taught us this new method of solving integrals which I thought was so much easier than trig substitution! But as she was going through it, I did not fully understand. I knew it was fully logical though. The problems on the board seemed so much easier than this problem




    I got this as my answer: (log[-5 + e^x] - log[6 + e^x])/11

    But my teacher told me to try again. What did I do wrong?
    Well, what did you do? Did you let e^x=z transorming this integral into one that easily conforms to P. Fracs?
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  3. #3
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    I got it!

    1/11 log|e^x-5|-1/11 log|e^x+6|+C

    Thanks!
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