Problem #1: Suppose that f(x) is the sum of the Fourier series 3 + 6n f(x) = sin(nx) 1+n- n=1 6 sin x + 3 sin(2x) + 10 A sin(3x) + .. -T < x < T. Compute the integral I = | f(x)(1+ sin(2x)) dx (А) 6л (В) -л 27t 28t (C) (D) 57 (E) 22T 32n 5

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem #1: Suppose that f(x) is the sum of the Fourier series
3 + 6n
f(x)
* sin(nx)
1+n-
n=1
6
* sin x + 3 sin(2x) +
4 sin(3x) +
10
-T < x < T.
Compute the integral
I =
| f(x)(1 + sin(2x)) dx
32л
(A) 67 (B) (C) 28% 2
277
5
(D) 5n (E)
Transcribed Image Text:Problem #1: Suppose that f(x) is the sum of the Fourier series 3 + 6n f(x) * sin(nx) 1+n- n=1 6 * sin x + 3 sin(2x) + 4 sin(3x) + 10 -T < x < T. Compute the integral I = | f(x)(1 + sin(2x)) dx 32л (A) 67 (B) (C) 28% 2 277 5 (D) 5n (E)
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