\( \int \frac{d x}{x\left(x^{2}+1\right)} \) बराबर है : (A) \( \log |x|-\frac{1}{2} \log \left(x...

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\( \int \frac{d x}{x\left(x^{2}+1\right)} \) बराबर है :
(A) \( \log |x|-\frac{1}{2} \log \left(x^{2}+1\right)+C \)
(B) \( \log |x|+\frac{1}{2} \log \left(x^{2}+1\right)+C \)
(C) \( -\log |x|+\frac{1}{2} \log \left(x^{2}+1\right)+C \)
(D) \( \frac{1}{2} \log |x|+\log \left(x^{2}+1\right)+C \)
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