Suppose m and n are constants and 1 1 —sin(m− n)x+ - -sin(m+n)x+C 2 m-n m+n 1 = cos(m− n)x - 1 cos(m+n)x]+ C 2n-m m+n 1 1 !__ cos(m_n)x+ + cos(m+n)x] + C 2 m-n m+n 1 1 22/11/2 —__cos(m− n)x - _ _ _ cos(m+n)x] + C 2m-n m+n m #n. Evaluate [sin(mx) cos(nx) dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 38E
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Question
Suppose m and n are constants and
_¹___sin(m− n)x+ ·
m+n)x] + C
2
m-n
m+n
1
1
-cos(m-n)x-. = cos(m+n)x] + C
_____¹____cos(m.
n-m
m+n
1 __cos(m− n)x+ __¹__cos(m+i
-cos(m+n)x+C
2
m-n
m+n
1
1
—cos(m− n)x—.
-cos(m+n). + C
2 m-n
m+n
O
O
2
m #n. Evaluate
1 - sin(m+n)
[sin (mx) cos(nx) dx
Transcribed Image Text:Suppose m and n are constants and _¹___sin(m− n)x+ · m+n)x] + C 2 m-n m+n 1 1 -cos(m-n)x-. = cos(m+n)x] + C _____¹____cos(m. n-m m+n 1 __cos(m− n)x+ __¹__cos(m+i -cos(m+n)x+C 2 m-n m+n 1 1 —cos(m− n)x—. -cos(m+n). + C 2 m-n m+n O O 2 m #n. Evaluate 1 - sin(m+n) [sin (mx) cos(nx) dx
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