JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{\sqrt{x}}{\sqrt{a^3-x^3}} d x=

View answer and explanation

Correct option: B

\frac{2}{3} \operatorname{Sin}^{-1}\left(\frac{x}{a}\right)^{3 / 2}+c

Option B (

\frac{2}{3} \operatorname{Sin}^{-1}\left(\frac{x}{a}\right)^{3 / 2}+c

) is correct because by substituting

x=a \sin ^{2 / 3} \theta

, we can evaluate the integral.

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{C}

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