JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int x^5 \sqrt[3]{\left(1+x^3\right)^2} d x

is equal to

View answer and explanation

Correct option: A

\frac{1}{8} u^{8 / 3}-\frac{1}{5} u^{5 / 3}+C, u=1+x^3

Option A (

\frac{1}{8} u^{8 / 3}-\frac{1}{5} u^{5 / 3}+C, u=1+x^3

) is correct because after the substitution

u = 1 + x^3

, the integral simplifies and can be easily integrated.

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