The correct option is A I=∫ e^x[1/1+x 1/(1+x)^2 ]dx=e^x/1+x+C ...

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First Fundamental Theorem of Calculus

∫xe^x/(1+x)^2...

Question

$\int \frac{x e^{x}}{(1 + x)^{2}} d x =$

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Solution

The correct option is B

$I = \int e^{x} [\frac{1}{1 + x} - \frac{1}{(1 + x)^{2}}] d x = \frac{e^{x}}{1 + x} + C$

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