Let \(\mathrm{y}=\mathrm{y}(\mathrm{x})\) be the solution of the differential equation \(\left({x}^{2}+1\right){y}^{'}-2…

Let \(\mathrm{y}=\mathrm{y}(\mathrm{x})\) be the solution of the differential equation \(\left({x}^{2}+1\right){y}^{'}-2xy=\left({x}^{4}+2{x}^{2}+1\right)\cos x\), \(y(0)=1\). Then \({\int }_{-3}^{3}y(x)dx\) is :

[JEE Main 2025, 7 Apr (Shift 2)]