Question

If $\int f(x) d x=\psi(x)$, then $\int x^5 f\left(x^3\right) d x$ is equal to

Accepted Answer

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

Answer

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

Answer

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

Answer

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

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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