Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If I = 
dx, then I equals:
A
log |x| + log 
+ sin –1 
+ C
+ sin –1 + C
B
log |x| – log 
+ tan –1 x + C
+ tan –1 x + C
C
log |x| – log 
– sin –1 x + C
– sin –1 x + C
D
log 
– log |x| + cos –1 x + C
– log |x| + cos –1 x + C
Text Solution
Verified by ExpertsThe correct answer is:
C
I = 
dx
= 
– 
In the first integral, put x = 
, so that
I = 
– sin –1 x = – 
– sin –1 x
= – log | t + 
| – sin –1 x + C
= – log 
– sin –1 x + C
= log |x| – log |1 + 
| – sin –1 x + C
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