JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\mathrm{I}=\int \frac{\mathrm{x}^5}{\sqrt{1+\mathrm{x}^3}} \mathrm{dx}

, then

\mathrm{I}

is equal to:

View answer and explanation

Correct option: B

\frac{2}{9}\left(1+x^3\right)^{3 / 2}-\frac{2}{3}\left(1+x^3\right)^{1 / 2}+C

Option B is correct because the integral is solved by substitution, letting

1+x^3 = t^2

and simplifying the resulting expression.

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{C}

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