1 questions from 2023
For \( x \in R \), let \( \tan^{-1}(x) \in \left(- \frac{\pi}{2}, \frac{\pi}{2} \right) \). Then the maximum value of the function \( f : R \to R \) defined by\( f(x) = \int_{0}^{xtan^{-1} x} \frac{e^{(t-\cos t)}}{1+t^{2023}} \, dt \) is:
