Mathematics · 2025
JEE Main · 24 January 2025, Shift 1 · Q25
Let f be a differentiable function such that 2(x+2)^2 f(x)-3(x+2)^2=10 ∫_0^x(t+2) f(t) d t, x ≥ 0. Then f (2) is equal to ____.
Let $\displaystyle f$ be a differentiable function such that $\displaystyle 2(x+2)^2 f(x)-3(x+2)^2=10 \int_0^x(t+2) f(t) d t, x \geq 0$. Then $\displaystyle \mathrm{f}(2)$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
19
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.