QUESTION 1 Using the identity 1 1 cosAcosB==cos (A+B) + -cos (A - B) 2 2 find the following integral cost cos(4x) cos(2x) dx 1 -sin (6x) + -cos (2x) + c 1 + -cos 12 4 01 1 cos (6x)+cos (2x) + c 2 O 1 1 -sin (6x) +-sin (2x) + c 2 2 O 1 12 1 sin (6x)+sin (2x) + c 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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QUESTION 1
Using the identity
1
1
cosAcosB = cos(A+B) + -cos (A - B)
2
2
find the following integral
Icos (
cos(4x) cos (2x) dx
1
1
-sin (6x) + -cos (2x) + c
+—cos (2x)
12
4
O 1
-cos (6x)+cos (2x) + c
2
O 1
-
2
1
+cos(
2
1
sin (6x)+sin(2x) + c
1
12
sin (6x) +
1
-sin (2x) + c
4
Transcribed Image Text:QUESTION 1 Using the identity 1 1 cosAcosB = cos(A+B) + -cos (A - B) 2 2 find the following integral Icos ( cos(4x) cos (2x) dx 1 1 -sin (6x) + -cos (2x) + c +—cos (2x) 12 4 O 1 -cos (6x)+cos (2x) + c 2 O 1 - 2 1 +cos( 2 1 sin (6x)+sin(2x) + c 1 12 sin (6x) + 1 -sin (2x) + c 4
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