Offline paper
Mathematics · 2013
JEE Main 2013 · 2013-04-07 Offline · Q10
If ∫ f(x) d x=Ψ(x), then ∫ x^5 f(x^3) d x is equal to:
If $\displaystyle \int f(x) \mathrm{d} x=\Psi(x)$, then $\displaystyle \int x^5 f\left(x^3\right) \mathrm{d} x$ is equal to :
Official answer
(4)
$\displaystyle \frac{1}{3} x^3 \Psi\left(x^3\right)-\int x^2 \Psi\left(x^3\right) \mathrm{d} x+\mathrm{C}$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.