tinuous, prove that T/2 T/2 f(cos x) dx = f(sin x) dx (b) Use part (a) to evaluate /2 cos?x dx and /2 sin?x dx.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Part a and b. Show all work 

X.
92. (a) If f is continuous, prove that
T/2
f(cos x) dx = " f(sin x) dx
TT/2
0.
(b) Use part (a) to evaluate 2 cosx dx and 2 sinx dx.
7/2
T/2
Transcribed Image Text:X. 92. (a) If f is continuous, prove that T/2 f(cos x) dx = " f(sin x) dx TT/2 0. (b) Use part (a) to evaluate 2 cosx dx and 2 sinx dx. 7/2 T/2
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