Let f be a polynomial function... | Definite Integrals

JEE MAIN 2026

28-1-2026 S1

Question

Let $f$ be a polynomial function such that $f\left(\mathrm{x}^2+1\right)=\mathrm{x}^4+5 \mathrm{x}^2+2$, for all $\mathrm{x} \in \mathbb{R}$. Then $\int_0^3 f(\mathrm{x}) \mathrm{dx}$ is equal to

Select the correct option:

$\frac{41}{3}$

$\frac{33}{2}$

$\frac{27}{2}$

$\frac{5}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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