Question:
Find the area bounded by the curve, $y=e^{-x}$, the $X$-axis and the $Y$-axis.
Solution:
The equation of the curve is $y=e^{-x}$. And when $x=0$, then $y=e^{-0}=1$. Now, $y=0$ when $x=\infty$. Using these boundaries, we get, Area $=\int_{0}^{i w} e^{-x} d x=1$.