Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx- 1 1 1 A cos(m-n)x+ cos (m + n)x] + C 2 m-n m+n 1 1 I B -sin(m-n)x+ in(m+n)x]+C 2 m-n m+n 1 1 1 -cos(m − n)x – cos(m+n)x]+C 2 m-n m+n 1 1 1 -cos(m− n)x- s(m + n) x ] + C 2 n-m m+n

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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No. 2
Suppose m and n are constants and m #n.
Evaluate [sin (mx) cos(nx) dx
1
1
1
A
-cos(m-n)x+
cos (m + n)x] + C
2
m-n
m+n
1
I
I
B
-sin(m-n)x+
sin(m+n)x]+C
2
m-n
m+n
1
1
1
-cos(m-n)x- os (m + n)x] + C
2
m-n
m+n
1
1
1
-cos(m-n)x-
-_—__
cos(m+n)x] + C
2
n-m
m + n
Transcribed Image Text:Suppose m and n are constants and m #n. Evaluate [sin (mx) cos(nx) dx 1 1 1 A -cos(m-n)x+ cos (m + n)x] + C 2 m-n m+n 1 I I B -sin(m-n)x+ sin(m+n)x]+C 2 m-n m+n 1 1 1 -cos(m-n)x- os (m + n)x] + C 2 m-n m+n 1 1 1 -cos(m-n)x- -_—__ cos(m+n)x] + C 2 n-m m + n
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