If \( I=\int \frac{x^{2}+a^{2}}{x^{4}-a^{2} x^{2}+a^{4}} d x \)
(a) \( \frac{1}{a} \tan ^{-1}\le...
If \( I=\int \frac{x^{2}+a^{2}}{x^{4}-a^{2} x^{2}+a^{4}} d x \)
(a) \( \frac{1}{a} \tan ^{-1}\left(\frac{a x}{x^{2}-a^{2}}\right)+C \)
(b) \( \frac{1}{a} \tan ^{-1}\left(\frac{x^{2} a^{2}}{a x}\right)+C \)
(c) \( \log \left|x+\sqrt{x^{2}-a^{2}}\right|+x+C \)
(d) \( \log \left|x+\sqrt{x^{2}+a^{2}}\right|+\tan ^{-1} \frac{a x}{x^{2}-a^{2}}+C \)
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