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Q.
The area defined by $|y| \leq e ^{-| x |}-\frac{1}{2}$ in cartesian co-ordinate system, is
Application of Integrals
Solution:
Combining (1) and (2) we have the required area given as
$A =4 \int\limits_0^{\ln 2}\left( e ^{- x }-\frac{1}{2}\right) dx =4\left(\frac{1}{2}-\frac{1}{2} \ln 2\right)=(2-2 \ln 2)$
