Published by:
CGP EDU Academic Team
Published on: August 13, 2026
It is known that
+
=
,
=
(tan x + cot x) , ∀ x ∈
∪ 
and
=
(tan x + cot x) , ∀ x ∈
∪ 
(i) Value of integral Ι =
, where x ∈
∪
is
Correct Answers for Comprehension Sub-Questions
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) Ι =
= 2
dx
Ι = 2
=
tan –1
+ C
(ii) If ; x ∈
, then Ι =
= 
=
= 
=
sin –1 (sin x – cos x) + C
(iii) If x ∈
, then Ι =
= 
= –
= –
= sin –1 (cos x – sin x) + 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