Suppose m and n are constants and m #n- Evaluate * sin(mx) cos(nx) dx cos(m+n)x] + C 1 −cos(m−n)x+· mn m+n 1 -cos(m-n)x- -cos(m+n)x+C 2n-m m+n 1 -cos(m-n)x- -cos(m+n) + n)x] + C m-n m+n -sin(m-n)x- n) x + -sin(m+n)x]+C 1 m-n m+n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 40E
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Suppose m and n are constants and
m #n- Evaluate
1
−cos(m−n)x+·
cos(m+n)x] + C
mn
m+n
1
-cos(m-n)x-
-cos(m+n)x+C
2n-m
m+n
1
-cos(m-n)x-
-cos(m+n)
+ n)x] + C
m-n
m+n
0 +_+sin(m-n)x+ sin(m+n)x] + C
1
m-n
* sin(mx) cos(nx) dx
Transcribed Image Text:Suppose m and n are constants and m #n- Evaluate 1 −cos(m−n)x+· cos(m+n)x] + C mn m+n 1 -cos(m-n)x- -cos(m+n)x+C 2n-m m+n 1 -cos(m-n)x- -cos(m+n) + n)x] + C m-n m+n 0 +_+sin(m-n)x+ sin(m+n)x] + C 1 m-n * sin(mx) cos(nx) dx
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