Suppose m and in are constants and m #n. Evaluate [sin(mx) cos(nx) dx Ⓒ![_!__cos (m-n)x+ ____cos(m + n)x] + C 1 COS 2 m-n m+n I O ! [_!__cos (m - n)x - ____ cos(m + n)x] + C cos(m+n)x COS 2 M-N M+n I ¹ - ____ sin(m – n ) x + __ __ sin(m + n)x]+C sin(m-n)x+ in(m+n)x]+C M-N m+n 1 -cos(m− n)x- coś(m+n)x]+ C 2 n-m m+n C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Suppose m and n are constants and m # n. Evaluate [sin(mx) cos(nx) dx
Ⓒ![_!__con(m-n)x+ ____cos(m + n)x] + C
1
2 m-n
m+n
I
○ ! [_!_cos({m-n)x - _ ¹_ cos(m + n)x] + C
COS
2 M-N
M+n
I
- - _—_—_—_ sin(m – n ) x + __ __ sin(m + n)x]+C
sin(m-n)x+
M-N
m+n
1
-cos(m− n)x-
coś(m +a)x]+ C
2 n-m
m+n
C
Transcribed Image Text:Suppose m and n are constants and m # n. Evaluate [sin(mx) cos(nx) dx Ⓒ![_!__con(m-n)x+ ____cos(m + n)x] + C 1 2 m-n m+n I ○ ! [_!_cos({m-n)x - _ ¹_ cos(m + n)x] + C COS 2 M-N M+n I - - _—_—_—_ sin(m – n ) x + __ __ sin(m + n)x]+C sin(m-n)x+ M-N m+n 1 -cos(m− n)x- coś(m +a)x]+ C 2 n-m m+n C
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