\( \int \frac{(x+1)^{2} d x}{x\left(x^{2}+1\right)} \) is equal to (A) \( \log _{e} x+c \) (B) \...

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\( \int \frac{(x+1)^{2} d x}{x\left(x^{2}+1\right)} \) is equal to
(A) \( \log _{e} x+c \)
(B) \( \log _{e} x+2 \tan ^{-1} x+c \)
(C) \( \log _{e} \frac{1}{x^{2}+1}+c \)
(D) \( \log _{e}\left\{x\left(x^{2}+1\right)\right\}+c \)
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