b) Let f [-T, π] → R be the function defined by N=∞ f (2) = Σ sin(nx) sin(x) sin(2x) sin(3x) + + +... 2n 2 4 8 n=1 Evaluate ƒ ƒ²(x) dx and ſ™ f(x) sin(3x) dx -π

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 13E
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b) Let f [-T, π] → R be the function defined by
N=∞
f (2) = Σ
sin(nx)
sin(x)
sin(2x)
sin(3x)
+
+
+...
2n
2
4
8
n=1
Evaluate ƒ ƒ²(x) dx and ſ™ f(x) sin(3x) dx
-π
Transcribed Image Text:b) Let f [-T, π] → R be the function defined by N=∞ f (2) = Σ sin(nx) sin(x) sin(2x) sin(3x) + + +... 2n 2 4 8 n=1 Evaluate ƒ ƒ²(x) dx and ſ™ f(x) sin(3x) dx -π
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