\( \int \frac{\left(\sqrt{x^{2}+1}\right)\left\{\ln \left(x^{2}+1\r...

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\( \int \frac{\left(\sqrt{x^{2}+1}\right)\left\{\ln \left(x^{2}+1\right)-2 \ln x\right\}}{x^{4}} d x \) is equal to:
P
(A) \( \frac{\left(x^{2}+1\right) \sqrt{x^{2}+1}}{x^{3}}\left[2-3 \ln \left(\frac{x^{2}+1}{x^{2}}\right)\right]+c \)
(B) \( \frac{1}{9} \frac{\left(x^{2}+1\right) \sqrt{x^{2}+1}}{x^{3}}\left[2+3 \ln \left(\frac{x^{2}+1}{x^{2}}\right)\right]+c \)
(C) \( \frac{\left(x^{2}+1\right) \sqrt{x^{2}+1}}{x^{3}}\left[2+3 \ln \left(\frac{x^{2}+1}{x^{2}}\right)\right]+c \)
(D) \( \frac{1}{9} \frac{\left(x^{2}+1\right) \sqrt{x^{2}+1}}{x^{3}}\left[2-3 \ln \left(\frac{x^{2}+1}{x^{2}}\right)\right]+c \)
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