- #1
dirk_mec1
- 761
- 13
Homework Statement
[tex]
\int_0^{\infty} \ln \left( \frac{e^x+1}{e^x-1} \right) \mbox{d}x
[/tex]
[tex]
\int_0^{\infty} \frac{1}{x^n+1}\ \mbox{d}x\ \forall n >1
[/tex]
Homework Equations
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The Attempt at a Solution
I've tried IBP and separating the ln into two terms and failed. I've also tried a subtitution for exp(x)+1 and exp(x)-1 with no succes. For the second one I've tried using a trigoniometric substitution but it didn't work out.