Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Evaluate 
dx
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
We have,
I = 
dx
= 
dx
= 
dx + 
dx
= 
dx + 
dx
= 
dx + 
dx + 
dx
= 
dx + 
dx + 
dx
= 
dx + 
dx + 
dx +
dx
= sin –1 
– 
+ I 1 + I 2 + C, where
I 1 = 
dx and I 2 = 
dx
Putting x + 1 = 
in I 1 and x –1 = 
in I 2 , we obtain
I 1 = log 
and I 2 = log 
Hence, I = sin –1 
– 
+ log 
+ log 
+ C
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