JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int f(x) d x=\psi(x)

, then

\int x^5 f\left(x^3\right) d x

is equal to

View answer and explanation

Correct option: C

\frac{1}{3} x^3 \psi\left(x^3\right)-\int x^2 \psi\left(x^3\right) d x+C

Option C (

\frac{1}{3} x^3 \psi(x^3)-\int x^2 \psi(x^3) d x+C

) is correct because integration by parts and substitution lead to this result.

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