Let \( I=\int \frac{x^{2}}{\left(1+x^{2}\right)\left(1+\sqrt{1+x^{2}}\right)} d x \) is equal to...
Let \( I=\int \frac{x^{2}}{\left(1+x^{2}\right)\left(1+\sqrt{1+x^{2}}\right)} d x \) is equal to
(a) \( \ln \left(x+\sqrt{x^{2}+1}\right)-\tan ^{-1} x+C \)
(b) \( \frac{1}{2} \ln \left(x+\sqrt{x^{2}-1}\right)-2 \tan ^{-1} x+C \)
(c) \( \ln \left(1+\sqrt{1+x^{2}}\right)-\tan ^{-1} x+C \)
(d) \( \ln \left(1+\sqrt{1+x^{2}}\right)+\tan ^{-1} x+C \)
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