The value of $\int \sin \sqrt[3]{x} d x$ is

$3\left\{\left(2-x^{2 / 3}\right) \sin x^{1 / 3}-2 x^{1 / 3} \cos x^{1 / 3}\right\}+C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \sin \sqrt[3]{x} d x

View answer and explanation

Correct option: B

3\left\{\left(2-x^{2 / 3}\right) \cos x^{1 / 3}+2 x^{1 / 3} \sin x^{1 / 3}\right\}+C

Option D is correct because after substituting

x^{1/3} = \theta

and integrating by parts twice, we obtain the given expression.

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