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

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

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`int frac{e^{x} d x}{1+e^{2 x}} `
`text { let } e^{x}=t `
`Rightarrow e^{x} d x=d t `
`text { Now, } int frac{e^{x} d x}{1+e^{2 x}} `
`=int frac{d t}{1+t^{2}} `
`=tan ^{-1}(t)+C `
`=tan ^{-1}(e^{x})+C`
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