JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{\left(4+3 x^2\right) \sqrt{3-4 x^2}}=

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Correct option: B

\frac{1}{10} \tan ^{-1} \frac{5 x}{2 \sqrt{3-4 x^2}}+c

Option B (

\frac{1}{10} \tan ^{-1} \frac{5 x}{2 \sqrt{3-4 x^2}}+c

) is correct because after substitution and simplification, the integral matches the form of an inverse tangent integral.

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