Suppose m and n are constants and m + n. Evaluate [sin (mx) cos(nx) dx- A) Ⓒ[-(-)-(+)₁]+€ m+ncos (m + n)x] + C COS os(m-n)x- 2 n-m 1 (В B -cos(m− n)x- m-n m + n cos (m + n)x] + C Ⓒ -sin(m-n)x+ sin (m+n m+n) x ] + C 2 m-n m+n 1 Ⓒ -cos(m-n)x+ -cos(m+n)x] + C 2 m-n 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 7
Suppose m and n are constants and m #n. Evaluate [sin(mx) cos(nx) dx-
1
A
[-m cos (m − n)x-
COS
2n-m
m+n cos (m + n)x] + C
+ -cos (m + n)x] + C
1
B
[ cos(m-n)x -
m-n
7777
1
©
-sin(m-n)x+
+ -sin(m+n)x+C
2m-n
m+n
-cos(m-n)x+
-cos(m+n)
+ n) x] + C
2 m-n
m+n
Transcribed Image Text:Question 7 Suppose m and n are constants and m #n. Evaluate [sin(mx) cos(nx) dx- 1 A [-m cos (m − n)x- COS 2n-m m+n cos (m + n)x] + C + -cos (m + n)x] + C 1 B [ cos(m-n)x - m-n 7777 1 © -sin(m-n)x+ + -sin(m+n)x+C 2m-n m+n -cos(m-n)x+ -cos(m+n) + n) x] + C 2 m-n m+n
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