The value of dx is equal to:

Maths Indefinite Integral General More Than One Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

cot − 1 (cot 2 x) + C

− cot − 1 (tan 2 x) + C

tan − 1 (tan 2 x) + C

− tan − 1 (cos 2 x) + C

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a,b,c,d)

Ι = dx = put tan 2 x = t

⇒ 2 tan x sec 2 x dx = dt

= = tan –1 (t) + C

= tan –1 (tan 2 x) + C =

= − cot − 1 (tan 2 x) + C 1 = − cot − 1 + C 1

= cot –1 (cot 2 x) + C 1

also cos2x = ⇒ = tan 2 x , using these values in given integral

Ι =

= put cos 2x = t ⇒ – 2 sin2x dx = dt

⇒ Ι = = – tan –1 t + C 2 = − tan − 1 (cos 2 x) + C 2

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