Suppose m and n are constants and m‡n. Evaluate [sin(mx) sin (mx) cos(nx) dx 1 _____cos (mn)x - ____cos (m + n)x] + C 1 2n-m m+n 1 1 = cos(m-n)x- _ _ cos(m+n)x] + C 2m-n m+n ○ ! [_!__cos(m-n)x+ ____ cos(m+n)x]+€ 1 1 2 m-n m+n 1 [sin(m − n)x+ ___ sin(m+n)x] + C 2 m+n
Suppose m and n are constants and m‡n. Evaluate [sin(mx) sin (mx) cos(nx) dx 1 _____cos (mn)x - ____cos (m + n)x] + C 1 2n-m m+n 1 1 = cos(m-n)x- _ _ cos(m+n)x] + C 2m-n m+n ○ ! [_!__cos(m-n)x+ ____ cos(m+n)x]+€ 1 1 2 m-n m+n 1 [sin(m − n)x+ ___ sin(m+n)x] + C 2 m+n
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Suppose m and n are constants and m‡n. Evaluate
[sin(mx)
sin (mx) cos(nx) dx
1
_____cos (mn)x - ____cos (m + n)x] + C
1
2n-m
m+n
1
1
= cos(m-n)x- _ _ cos(m+n)x] + C
2m-n
m+n
○ ! [_!__cos(m-n)x+ ____ cos(m+n)x]+€
1
1
2 m-n
m+n
1
[sin(m − n)x+ ___ sin(m+n)x] + C
2
m+n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F402d8b80-09c9-40a7-b0bd-dac3eeb0e9e3%2F5eb33681-e5d0-43fa-9770-426f4327750e%2F1v6ramr_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose m and n are constants and m‡n. Evaluate
[sin(mx)
sin (mx) cos(nx) dx
1
_____cos (mn)x - ____cos (m + n)x] + C
1
2n-m
m+n
1
1
= cos(m-n)x- _ _ cos(m+n)x] + C
2m-n
m+n
○ ! [_!__cos(m-n)x+ ____ cos(m+n)x]+€
1
1
2 m-n
m+n
1
[sin(m − n)x+ ___ sin(m+n)x] + C
2
m+n
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