Mathematics · 2025
JEE Main · 28 January 2025, Shift 1 · Q18
Let for some function y =f(x), ∫_0^x t f(t) d t=x^2 f(x), x>0 and f(2)=3. Then f(6) is equal to
Let for some function $\displaystyle \mathrm{y}=f(x), \int_0^x t f(t) d t=x^2 f(x), x>0$ and $\displaystyle f(2)=3$. Then $\displaystyle f(6)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 1$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.