Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
dx = ƒ(x) 
– 2 log g(x) + C, then -
A
ƒ(x) = x – 1
B
g (x) = 
C
g(x) = 
g(x) = 
g(x) =
Text Solution
Verified by ExpertsThe correct answer is:
B
Let I = 
= 
I II
= x . 2 
– 
dx
= 2x 
– 2 
dx
in second integral
put 1 + e x = t 2
∴ dx = 
then = 2x 
– 4 
dt
= 2x 
– 4 
dt
= 2x 
– 4 
+ c
= 2x 
– 4 
– 2 log 
+ c
On comparing
ƒ(x) = 2x – 4, g(x) = 
.
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