Let \(f\) be a polynomial function such that \(f\left({x}^{2}+1\right)={x}^{4}+5{x}^{2}+2\), for all \(x\in ℝ\). Then \(…

Let \(f\) be a polynomial function such that \(f\left({x}^{2}+1\right)={x}^{4}+5{x}^{2}+2\), for all \(x\in ℝ\). Then \({\int }_{0}^{3}f\left(x\right)dx\) is equal to

[JEE Main 2026, 28 Jan (Shift 1)]