JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{x^2}{\left(x^2+2\right)\left(x^2+3\right)} d x=

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Correct option: B

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

Option B,

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

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

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