Supposem and n are constants and m #n. Evaluate sin(mx) cos(nx) dx² 1 A -sin(m-n)x+ -sin(m+n)x +n)x] + C m-n m+n 1 B -cos(m-n)x= - cos(m+n)x] + C n-m −cos(m_n)x+ - -cos(m+n)x+ C −cos(m− n)x - - = cos(m+n)x] + C [1 m-n m-n m+n 1 m+n 1 m+n

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

Supposem and n are constants and m #n. Evaluate sin(mx) cos(nx) dx²
1
A
-sin(m-n)x+ -sin(m+n)x
+n)x] + C
m-n
m+n
1
B
-cos(m-n)x= -
cos(m+n)x] + C
n-m
−cos(m_n)x+ -
-cos(m+n)x+ C
−cos(m− n)x - -
= cos(m+n)x] + C
[1
m-n
m-n
m+n
1
m+n
1
m+n
Transcribed Image Text:Supposem and n are constants and m #n. Evaluate sin(mx) cos(nx) dx² 1 A -sin(m-n)x+ -sin(m+n)x +n)x] + C m-n m+n 1 B -cos(m-n)x= - cos(m+n)x] + C n-m −cos(m_n)x+ - -cos(m+n)x+ C −cos(m− n)x - - = cos(m+n)x] + C [1 m-n m-n m+n 1 m+n 1 m+n
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