Mathematics · 2025
JEE Main · 3 April 2025, Shift 1 · Q18
Let f(x)=∫ x^3 √(3-x^2) d x. If 5 f(√ 2 )=-4, then f(1) is equal to
Let $\displaystyle f(x)=\int x^3 \sqrt{3-x^2} d x$. If $\displaystyle 5 f(\sqrt{2})=-4$, then $\displaystyle f(1)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle -\frac{6 \sqrt{2}}{5}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.