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Math Help - Yay integrals

  1. #1
    Junior Member
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    Yay integrals

    Alright. I know these fairly well, but have a question on these particular two.

    The integral from 0 to 33, (x-1)^(-1/5).
    I know that x cant be zero or negative.
    If you could work out a few steps i'd appreciate it. I can finish it if i find the limits probably.


    Also, for the integral from -1 to 1, (e^x)/(e^x-1), I know how to work it to the point that it = 1/2(e^x -1)^2 | (-1 to s) + 1/2(e^x -1)^2 | (t to 1)

    Where s and t came into the picture when Limit S ->0 and Limit T->0...

    My question is, I know that it is divergent, but I don't know why. It is probably a simple answer, so i am sorry.

    Thank you for your help!!
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  2. #2
    Senior Member Peritus's Avatar
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    \int\limits_0^{33} {\left( {x - 1} \right)^{ - \frac{1}<br />
{5}} } dx = \left. {\frac{5}<br />
{4}\left( {x - 1} \right)^{\frac{4}<br />
{5}} } \right|_0^{33}  = <br />
...

    <br />
\int\limits_{ - 1}^1 {\frac{{e^x }}<br />
{{e^x  - 1}}dx = \ln \left| {e^x  - 1} \right|} ...
    Last edited by Peritus; February 22nd 2008 at 04:21 AM.
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