Published by:
CGP EDU Academic Team
Published on: August 12, 2026
2x . cos 3x dx is –
A
– 
+ 
+ c
+ + c
B
– 
+ 
+ 
– 
+ c
+ + – + c
C
– 
+ 
– 
+ 
+ c
+ – + + c
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
I = 
sin 2x . cos 3x dx
= 
cos 3x . sin 2x dx = 
(sin 5x – sin x) dx
= 
sin 5x dx– 
sin x dx …(1)
Let I 1 = 
dx = x 
–
. 
dx
= – 
+ 
& I 2 = 
dx = x(–cos x) – 
. (–cos x) dx
= –x cos x + sin x
Put I 1 & I 2 in equation (1)
⇒ I = – 
+ 
+ 
– 
+ c
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