Suppose m and n are constants and 1 n-m 1 m-n m-n m‡n. 1 -cos(m− n)x- cos(m+n)x] + C m+n 1 -cos(m− n)x- = cos(m+n)x] + C m+n 1 -cos(m-n)x+· xs (m+n)x]+C m+n 1 -sin(m-n)x+- in (m+n)x] + C m+n Evaluate sin(mx) cos(nx) dx m-n
Suppose m and n are constants and 1 n-m 1 m-n m-n m‡n. 1 -cos(m− n)x- cos(m+n)x] + C m+n 1 -cos(m− n)x- = cos(m+n)x] + C m+n 1 -cos(m-n)x+· xs (m+n)x]+C m+n 1 -sin(m-n)x+- in (m+n)x] + C m+n Evaluate sin(mx) cos(nx) dx m-n
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 38E
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![QUESTION 6
Suppose m and n are constants and
1
n-m
1
m-n
m-n
m - n
O
* sin(mx) cos(nx) dx
Evaluate
mi n-
1
-cos(m− n)x -
m+n
1
-cos(m-n)x-
= cos(m + n)x] + C
= cos(m+n)x] + C
n+n)x] + C
m+n
1
-cos(m-n)x-
-cos(m+n
m+n
-sin(m-n)x+.
sin{w=n}x+ _____sin{w+n)x] - €
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F549b3362-39bd-4dc7-8348-8f8a6912ac9f%2F5b9ea238-9415-4559-b299-e6fc3edb6792%2Fqjh834o_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 6
Suppose m and n are constants and
1
n-m
1
m-n
m-n
m - n
O
* sin(mx) cos(nx) dx
Evaluate
mi n-
1
-cos(m− n)x -
m+n
1
-cos(m-n)x-
= cos(m + n)x] + C
= cos(m+n)x] + C
n+n)x] + C
m+n
1
-cos(m-n)x-
-cos(m+n
m+n
-sin(m-n)x+.
sin{w=n}x+ _____sin{w+n)x] - €
+
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