## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Exercises - Page 328: 88

#### 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*}

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