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MathsJEE Main 28 Jan 2026, Shift 1·Q12·MCQ·Easy–moderate

Definite Integration · Definite integral of polynomial

Let ff be a polynomial function such that f(x2+1)=x4+5x2+2f(x^2 + 1) = x^4 + 5x^2 + 2, for all x∈Rx \in \mathbb{R}. Then ∫03f(x) dx\displaystyle\int_0^3 f(x)\,dx is equal to
  1. (1)413\dfrac{41}{3}
  2. (2)332\dfrac{33}{2}
  3. (3)272\dfrac{27}{2}
  4. (4)53\dfrac{5}{3}

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