If \( I=\int \frac{1}{x^{2}} \log \left(x^{2}+a^{2}\right) d x \), then \( I \) equals
(a) \( -\...
If \( I=\int \frac{1}{x^{2}} \log \left(x^{2}+a^{2}\right) d x \), then \( I \) equals
(a) \( -\frac{1}{x} \log \left(x^{2}+a^{2}\right)+2 \tan ^{-1}\left(\frac{x}{a}\right)+C \)
(b) \( -\frac{1}{x} \log \left(x^{2}+a^{2}\right)+\frac{2}{a} \tan ^{-1}\left(\frac{x}{a}\right)+C \)
(c) \( -\frac{1}{x} \log \left(x^{2}+a^{2}\right)+\frac{2}{a} \cot ^{-1}\left(\frac{x}{a}\right)+C \)
(d) \( -\log \left(x^{2}+a^{2}\right)+\frac{2}{a} \tan ^{-1}\left(\frac{x}{a}\right)+C \)
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