Suppose that f(x) is the sum of the Fourier series 8 f(x) = = 3 + Σ 4 + 3n n = 1 1 + n² 2sin(nx) = 315 7 + sin x + 2 sin(2x) + 13 sin(3x) + -π < x < π. Compute the integral 1 = ƒ_ƒ(x)(1 + sin(2x)) dx
Suppose that f(x) is the sum of the Fourier series 8 f(x) = = 3 + Σ 4 + 3n n = 1 1 + n² 2sin(nx) = 315 7 + sin x + 2 sin(2x) + 13 sin(3x) + -π < x < π. Compute the integral 1 = ƒ_ƒ(x)(1 + sin(2x)) dx
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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Transcribed Image Text:Suppose that f(x) is the sum of the Fourier series
∞
f(x) = 3 + 4 + 3 sin(nx)
Σ
n = 1
1 + n²
2
=
35
룸+ 글
sin x + 2 sin(2x) +
sin(3x) +
−π < x < π.
Compute the integral
I =
ƒ_ƒ(x)(1 + sin(2x)) dx
-π
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