Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Integrate with respect to x :
(i)sin 2 x (ii)cos 3 x (iii)sin 2x cos 3x
(iv)4 sin x cos 
cos 
(v) 
Text Solution
Verified by ExpertsThe correct answer is:
(ii) (iii); (iii) = (iv)
(i) 
– 
sin2x + C (ii) 
(iii)– 
cos 5x + 
cosx + C (iv)cos x − 
cos 2x − 
cos 3x + C
(v) 
+ C
Sol. (i) 
= 
= 
– 
sin 2x + C
(ii) 
= 
= 
(iii) 
= 
(iv) 
4 sin x 
cos cos 
dx = 
= 
= 
= cos x − 
cos 2x − 
cos 3x + C
(v) Ι = 
dx = 
dx
= 
dx = 
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