The integrals arise when finding the Fourier series expansion of eax over the interval -L< x < L. Use the result cos nл = (-1)" for integral values of n to establish the stated result. Le -π eax sin nxdx = (-1)+1n(еax - e-ar (a²+n²) for integral values of n.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
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Author:Saeed Moaveni
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Chapter12: Electric Current And Related Variables In Engineering
Section12.1: Electric Current, Voltage,and Electric Power
Problem 6BYG
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The integrals
arise when finding the
Fourier series expansion of eax over the interval -L< x <
L. Use the result cos nл = (-1)" for integral values of n to
establish the stated result.
Le
-π
eax sin nxdx =
(-1)+1n(еax
- e-ar
(a²+n²)
for integral
values of n.
Transcribed Image Text:The integrals arise when finding the Fourier series expansion of eax over the interval -L< x < L. Use the result cos nл = (-1)" for integral values of n to establish the stated result. Le -π eax sin nxdx = (-1)+1n(еax - e-ar (a²+n²) for integral values of n.
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