Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The value of 
dx is equal to
A
− 2 
+ cos − 1 
+ C
B
+ 2 
+ cos − 1 
+ C
C
− 2 
− cos − 1 
+ C
D
+ 2 
− cos − 1 
+ C
Text Solution
Verified by ExpertsThe correct answer is:
A
put 
= cos 2t ⇒ dx = –4 sin 2t cos 2t dt
= 
(– 4 sin 2t cos 2t) dt = –4 
.2sin t cos t cos 2t .dt
= –4 
cos 2t dt = – 4 
+ 4 
= – 
sin 2t + 2 
= –2 sin 2t + 2 × 
+ 2t + C
= –2 
+ 
+ cos –1 
+ C
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