10 17 sin(3x) + -π < x <π. " #3: Suppose that f(x) is the sum of the Fourier series f(x) = sin(nx) = 415 45 + 00 Σ n=1 5+4n 1+n² sinx+ 13 sin(2x) + Compute the integral I π -π f(x)(1 + sin(2x)) dx 24π 22π 21π (A) 267 (B) 247 (C) 1977 (D) 22 (E) 217 26π 5
10 17 sin(3x) + -π < x <π. " #3: Suppose that f(x) is the sum of the Fourier series f(x) = sin(nx) = 415 45 + 00 Σ n=1 5+4n 1+n² sinx+ 13 sin(2x) + Compute the integral I π -π f(x)(1 + sin(2x)) dx 24π 22π 21π (A) 267 (B) 247 (C) 1977 (D) 22 (E) 217 26π 5
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 33E
Question
Transcribed Image Text:10
17 sin(3x) +
-π < x <π.
"
#3: Suppose that f(x) is the sum of the Fourier series
f(x)
=
sin(nx)
=
415
45
+
00
Σ
n=1
5+4n
1+n²
sinx+ 13 sin(2x) +
Compute the integral
I
π
-π
f(x)(1 + sin(2x)) dx
24π
22π
21π
(A) 267 (B) 247 (C) 1977 (D) 22 (E) 217
26π
5
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