1.

The value of \(\rm \int \frac{(x+1)}{x(xe^x + 1)}\ dx\) is equal to:

A. \(\rm \log \left(\frac{1+xe^x}{xe^x}\right)+C\)
B. \(\rm \log \left[xe^x (1+ xe^x)\right]+C\)
C. \(\rm \log \left(\frac{1}{1+xe^x}\right)+C\)
D. \(\rm \log \left(\frac{xe^x}{1+xe^x}\right)+C\)
Answer» E.


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