Question

If $\int f(x) d x=\phi(x)$ i.e. $\phi$ is a function such that $\phi^{\prime}(x)$ $=f(x)$, then $\int x^9 f\left(x^5\right) d x$ is equal to

Accepted Answer

$\frac{1}{5} x^5 \phi\left(x^5\right)-\int x^4 \phi\left(x^5\right) d x+C$

Answer

$\frac{1}{5}\left[x^5 \phi\left(x^5\right)-\int x^4 \phi\left(x^5\right) d x\right]+C$

Answer

$\frac{1}{5} x^5 \phi\left(x^5\right)-5 \int x^5 \phi\left(x^5\right) d x+C$

Answer

$\frac{1}{5}\left[x^5 \phi\left(x^5\right)-\int x^5 \phi\left(x^5\right) d x\right]+C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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