(Solved): Find an expression for the area between the curves \( y=x^{2} / 2 \) and \( y=e^{x} \) between the ...

Find an expression for the area between the curves \( y=x^{2} / 2 \) and \( y=e^{x} \) between the lines \( x=0 \) and \( x=1 \). \[ \int_{0}^{2}\left(e^{x}-x^{2} / 2\right) d x \] None of these \[ \begin{array}{l} \int_{0}^{1}\left(e^{x}-x^{2} / 2\right) d x \\ \int_{0}^{1}\left(x^{2} / 2-2 e^{x}\right) d x \\ \int_{0}^{1} \pi\left(e^{x}-x^{2} / 2\right) d x \end{array} \]