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# Find the area bounded by the curve :

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 $=\int_{0}^{i w} e^{-x} d x=1$.