Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Evaluate 
dx
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. Resolving 
into partial fractions, we obtain 
= 
. 
– 
– 
I = 
dx
= 
dx
= 
dx – 
dx
– 
dx
= 
I 1 – 
I 2 – 
I 3 ... (i)
where I 1 = 
dx,
I 2 = 
dx
and, I 3 = 
dx
Putting x –1 = 
in I 1 , we get
I 1 = – 
log 
Putting x + 2 = 
in I 2 and I 3 , we get
I 2 = – 
log 
I 3 = – 
= – 
du
= – 
du –
du
= – 
– 
log
= – 
– 
log
Hence,
I = 
+ 
log
+ 
+ 
log
+ C
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