[ sin(mx) cos(nx) dx- D Suppose m and n are constants and m #n. Evaluate 1 1 A -cos(m-n)x- = cos(m+n)x] + C с 2 m-n m+n 1 B -sin(m-n)x+ -x} + 1 m+n -sin(m+n)x+C 2 m-n 1 C ___ cos(m_n)x+ __ __ cos(m+n)x]+ C 2 m-n m+n - [ n_ cos(m-n)x-__ cos (m+n)x] + C 2 n-m

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Suppose m and n are constants and m #n. Evaluate
1
A
[ ² -cos(m-n)x=
cos(
- 2006 (1²+1)x] + C
2 m-n
m+n
B)
2² -sin(m-n)x+
1
m+n
-sin(m+n)x]+C
2 m-n
1 1
1
C
-cos(m− n)x+− = cos(m + n)x] + C
2 m-n
m+n
1
-cos(mn)x__¹__cos(m+n)x
= cos(m + n)x] + C
с
2n-m
m+n
[ sin(mx) cos(nx) dx.
D
Transcribed Image Text:Suppose m and n are constants and m #n. Evaluate 1 A [ ² -cos(m-n)x= cos( - 2006 (1²+1)x] + C 2 m-n m+n B) 2² -sin(m-n)x+ 1 m+n -sin(m+n)x]+C 2 m-n 1 1 1 C -cos(m− n)x+− = cos(m + n)x] + C 2 m-n m+n 1 -cos(mn)x__¹__cos(m+n)x = cos(m + n)x] + C с 2n-m m+n [ sin(mx) cos(nx) dx. D
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