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MCQMediumJEE Main 2026 · 28 January, Shift 1Functions

Mathematics Question from JEE Main 2026 · 28 January, Shift 1

Let ff be a polynomial function such that

f(x2+1)=x4+5x2+2,for all x∈R.f(x^2+1)=x^4+5x^2+2,\quad \text{for all } x\in\mathbb{R}.

Then

∫03f(x) dx\int_0^3 f(x)\,dx

is equal to:

  • A

    53\dfrac{5}{3}

  • B

    272\dfrac{27}{2}

  • C

    332\dfrac{33}{2}

  • D

    413\dfrac{41}{3}

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