The value of

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

The value of ∫(1+x)x(1+xex)2dx\int \frac{(1+x)}{x(1+xe^x)^2} dx , is equal to (1) \log \left| \frac{x}{1+xe^x} \right| + \frac{1}{(1+xe^x)} + C (2) \log \left| \frac{xe^x}{1+xe^x} \right| + \frac{1}{1+xe^x} + C (3) \log \left| \frac{xe^x}{1+e^x} \right| + \frac{1}{1+xe^x} + C (4) None of the above

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