Published by:
CGP EDU Academic Team
Published on: August 11, 2026
The value of 
; 
is equal to
A
2 sin − 1 
+ C
+ C
B
sin − 1 (2x − 1) + C
C
C − 2 cos − 1 (2x − 1)
D
cos − 1 2 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,d) Ι = 
= 
= sin –1 
= sin -1 (2x – 1) + C ..... (1)
Also Ι = 
put 
= t ⇒ 
dx = dt
⇒ Ι = 
= 2 sin –1 
+ C .......(2)
Now Let θ = sin –1 (2x – 1)
⇒ sin θ = 2x – 1 ⇒ cos θ = 
= 
= 2 
⇒ θ = cos –1 2 
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