$\int_{0}^{4} \frac{e^{\sqrt{x}}}{2 \sqrt{x}} d x=?$

$2\left(e^{2}-1\right)$

$e^{2}-1$

$\frac{1}{2}\left(\mathrm{e}^{2}-1\right)$

$\frac{1}{2}(e-1)^{2}$