Answer
$ e^{2} +e^{-2} -2.$
Work Step by Step
The area between the two curves can be calculated as follows:
\begin{align*}
Area\ &=\int_0^2e^{x}-e^{-x}dx \\
&=( e^{x}+e^{-x})_0^2\\
&=e^{2} +e^{-2} -(1+1)\\
&=e^{2} +e^{-2} -2.
\end{align*}
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Exercises - Page 328: 88
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