JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

Let

\int \frac{x^{1 / 2}}{\sqrt{1-x^3}} d x=\frac{2}{3} \operatorname{gof}(x)+c

then

View answer and explanation

Correct option: D

f(x)=x^{3 / 2}, g(x)=\sin ^{-1} x

Option D (

f(x)=x^{3 / 2}, g(x)=\sin ^{-1} x

) is correct because it is the result of u-substitution and recognizing the form of the arcsine integral.

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