Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
,
when C is constant of integration, then the value of 
is .
Text Solution
Verified by ExpertsThe correct answer is:
3
(3)
Let tan x = t ⇒ sec 2 x ⋅ dx = dt
= 
⇒ A(t 2 − t + 1) + B(2t − 1) (t 2 − t + 1) + C(t + 1) = t
⇒ t 2 (A + 2B) + t( − A + B + C) + A − B + C = 1
∴ A + 2B = 0
− A + B + C = 1
A − B + C = 0
….(4)
A+2B=0
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
If where is a constant of integration, then the ordered pair is equal to :
The value of the integral is (where is a constant of integration
The integral is equal to: (where " c" is a constant of integration)
The integral is equal to
(where is a constant of integration)
If and , then the value of is
For real numbers and , if
where is an arbitrary constant, then the value
is equal to_____