Suppose m and n are constants and m # n Evaluate O 1 1 -cos(m-n)x - - -cos(m+n)x] + C m-n m+n O 1 1 -sin(m − n)x+ + sin(m+n)x]+C 2 m-n m+n 1 1 [con(m - m) x + + con(+1)x] + C -cos(m− n)x+ (m 2 m+n 1 1 [cos(m-n) x -+cos(m + n)x] + C 2 m+n 2 [sin(mx) cos(nx) dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 35E
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Suppose m and n are constants and m #n. Evaluate [sin (mx) cos(nx) dx
O
1
[cos(m-nx-
с
2
m+n
cos (m + n)x] + C
-sin(mn)x+ - + sin(m + n)x] + C
in(m+n)x]+C
O
1
1
m-n
m+n
O
1
1
-cos(m-n)x+ + co(+1)x] + C
m-n
m+n
O
1
1
- cos (m-nx-con(m + n)x] + C
m+n
2
2
2 n-m
Transcribed Image Text:Suppose m and n are constants and m #n. Evaluate [sin (mx) cos(nx) dx O 1 [cos(m-nx- с 2 m+n cos (m + n)x] + C -sin(mn)x+ - + sin(m + n)x] + C in(m+n)x]+C O 1 1 m-n m+n O 1 1 -cos(m-n)x+ + co(+1)x] + C m-n m+n O 1 1 - cos (m-nx-con(m + n)x] + C m+n 2 2 2 n-m
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