If I = x^ 2 + a ^ 2 x^ 4 - a ^ 2 x^ 2 + a ^ 4 ~d x then I =
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(\mathrm{I}=\int \frac{x^{2}+\mathrm{a}^{2}}{x^{4}-\mathrm{a}^{2} x^{2}+\mathrm{a}^{4}} \mathrm{~d} x\) then I =
- \(\frac{1}{a} \tan ^{-1}\left(\frac{a x}{x^{2}-a^{2}}\right)+c\)
- \(\frac{1}{a} \tan ^{-1}\left(\frac{x^{2}-a^{2}}{a x}\right)+c\)
- \(\log \left|x+\sqrt{x^{2}-a^{2}}\right|+c\)
- None of these
Answer
(B) 1 a ^ -1 ( x^ 2 -a^ 2 a x )+c
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