Question

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

• A.
• B.
• C.
• D. None of these

Answer 1

The correct option is C

The required area is
${\int }_0^{\infty }{e}^{-x}dx$
= $-e^{-x}{|}_0^{\infty }$

= $\frac{-1}{e^{\infty }}-[-\frac{1}{e^{\circ }}]$

= -0 + 1

= 1