Question

The area defined by $|y|\le e^{-|x|}-\frac{1}{2}$ in cartesian co-ordinate system, is

• A. $(4-2\ln 2)$
• B. $(4-\ln 2)$
• C. $(2-\ln 2)$
• D. $(2-2\ln 2)$

Answer 1

Answer: (D)

Combining (1) and (2) we have the required area given as
$A=4\underset{0}{\overset{\ln 2}{\int }}\left(e^{-x}-\frac{1}{2}\right)dx=4\left(\frac{1}{2}-\frac{1}{2}\ln 2\right)=(2-2\ln 2)$