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Find Fourier series F(x) = cos ² x Find aora, az [0,1]

Find Fourier series F(x) = cos ² x Find aora, az [0,1]

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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find the fourier series Find Fourier series F(x) = cos ² x Find apra, az Fourier Series: f(x)= a₁ + a, cos ηπχ + Σa, cos (EX) + b sin (TX) L L n=1 Fourier series Coefficients: = [0,1] 1 CL 2LJ-L nTX an = = -√²₁, S(x) cos(" dx (n=1,2,...) L L f(x) dx 1 == S(x) sin(x) dx (n=1,2,..) [ L-L L
Transcribed Image Text:find the fourier series Find Fourier series F(x) = cos ² x Find apra, az Fourier Series: f(x)= a₁ + a, cos ηπχ + Σa, cos (EX) + b sin (TX) L L n=1 Fourier series Coefficients: = [0,1] 1 CL 2LJ-L nTX an = = -√²₁, S(x) cos(" dx (n=1,2,...) L L f(x) dx 1 == S(x) sin(x) dx (n=1,2,..) [ L-L L
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