Let \(f:[1, \infty) \rightarrow \mathbf{R}\) be a differentiable function defined as \(f(x)=\int_1^x f(\mathrm{t}) \math…

Let \(f:[1, \infty) \rightarrow \mathbf{R}\) be a differentiable function defined as \(f(x)=\int_1^x f(\mathrm{t}) \mathrm{dt}+(1-x)\left(\log _{\mathrm{e}} x-1\right)+\mathrm{e}\). Then the value of \(f(f(1))\) is:

[JEE Main 2026, 5 Apr (Shift 2)]