Mathematics · 2026
JEE Main · 28 January 2026, Shift 1 · Q16
Let f be a polynomial function such that f(x^2+1)=x^4+5 x^2+2, for all x ∈ R. Then ∫_0^3 f(x) d x is equal to
Let $\displaystyle f$ be a polynomial function such that $\displaystyle f\left(x^2+1\right)=x^4+5 x^2+2$, for all $\displaystyle x \in \mathbb{R}$. Then $\displaystyle \int_0^3 f(x) d x$ is equal to
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \frac{33}{2}$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.