How to integrate with exp in denominator

medicalphysicsguy

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Jan 23, 2012
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Hello again, I have a Diff Eq problem to integrate:
\(\displaystyle \int{\frac{1}{exp(-y)+1}dy}\)

I can't figure out the principle. Is it integration by parts somehow?

Thanks
 
Hello again, I have a Diff Eq problem to integrate:
\(\displaystyle \int{\frac{1}{exp(-y)+1}dy}\)
I can't figure out the principle. Is it integration by parts somehow?
\(\displaystyle \dfrac{1}{\exp(-y)+1}=\dfrac{\exp(y)}{1+\exp(y)}\)
 
Or, equivalently, let \(\displaystyle u= e^{-y}+ 1\).
 
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