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Evaluate: int(e^x)/((1+e^x)^2)dx...

Evaluate: `int(e^x)/((1+e^x)^2)dx`

Text Solution

Verified by Experts

Given
`int(e^x)/((1+e^x)^2)dx`
Let`(1+e^x)=t`
=`e^xdx=dt`
so,`int(e^x)/((1+e^x)^2)dx`
=`int(dt)/((t)^2)`
=`int t^(-2)dt`
...
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