Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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QUESTION 3

Suppose m and n are constants and m‡n. Evaluate sin(mx) cos(nx) dx-
1
A /
-sin(m-n)x+
_____
-sin(m+n)x+C
n) x ] + C
2 m-n
m+n
1
B
12/1 m ² „cos(m− n)x+
= cos(m+n)x] + C
m+n
1
C
—cos(m− n)x -- —cos (m+n)x] + C
2
m-n
m+n
1
(D)
[ n_ cos(m-n)x- -
= cos(m+n)x] + C
m+n
Transcribed Image Text:Suppose m and n are constants and m‡n. Evaluate sin(mx) cos(nx) dx- 1 A / -sin(m-n)x+ _____ -sin(m+n)x+C n) x ] + C 2 m-n m+n 1 B 12/1 m ² „cos(m− n)x+ = cos(m+n)x] + C m+n 1 C —cos(m− n)x -- —cos (m+n)x] + C 2 m-n m+n 1 (D) [ n_ cos(m-n)x- - = cos(m+n)x] + C m+n
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