Find the area bounded by the $x$-axis, the $y$-axis, the curve $y=e^{2x}$ and the line $x=2$

Question

Find the area bounded by the $x$-axis, the $y$-axis, the curve $y=e^{2x}$ and the line $x=2$.

Accepted Answer

$\frac{1}{2} (e^4-1) $

Area of region bounded by curve and axes