\( \int \frac{e^{x}}{\left(2+e^{x}\right)\left(e^{x}+1\right)} d x= \)
(A) \( \log \left(\frac{e...
\( \int \frac{e^{x}}{\left(2+e^{x}\right)\left(e^{x}+1\right)} d x= \)
(A) \( \log \left(\frac{e^{x}+1}{e^{x}+2}\right)+C \)
(B) \( \log \left(\frac{e^{x}+2}{e^{x}+1}\right)+C \)
(C) \( \frac{e^{x}+2}{e^{x}+1}+C \)
(D) \( \frac{e^{x}+1}{e^{x}+2}+C \)
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