Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Evaluate 
dx
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. We have,
dx
= 
= 
dx
Let x 2 = y. Then,
= 
Let 
= 
+ 
+ 
⇒ 1 = A(y + a 2 ) 2 + B(y + a 2 ) (y –a 2 ) + C(y –a 2 )
Putting y = a 2 and y = –a 2 , respectively we get
A = 
, C = 
Now, putting y = 0, we get
1 = Aa 4 – Ba 4 – Ca 2 ⇒ 1 = 
– Ba
4 + 
⇒ B = – 
∴ 
= 
. 
– 
. 
– 
⇒ 
= 
. 
– 
. 
– 
⇒ 
dx
= 
dx – 
dx
– 
dx
= 
× 
log 
– 
tan –1
– 
+ C
= 
log 
– 
tan –1 
+ C
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems