Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Evaluate 
dx
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. We have,
I = 
dx
= 
dx
= 
dx
= 
= 
... (i)
Now,
= 
, where x = sin 2 θ
= – θ 
+ 
= – 
cos 2 θ + 
sin 2 θ
= – 
θ (1–2 sin 2 θ ) + 
sin θ 
= – 
sin –1 
(1–2x) + 
... (ii)
From (i) and (ii), we get
I = 
–x + C
= 
[ 
– (1–2x) sin –1 
] –x + C
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