JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{\left(x^2+1\right)\left(x^2+4\right)}=

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Correct option: C

\frac{1}{3} \tan ^{-1} x-\frac{1}{6} \tan ^{-1} \frac{x}{2}+c

Option C,

\frac{1}{3} \tan ^{-1} x-\frac{1}{6} \tan ^{-1} \frac{x}{2}+c

, is the correct answer because it results from partial fraction decomposition and integration of the given expression.

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