If 2x dx = ƒ (g(x)) + c, then –

Maths Indefinite Integral General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Range g(x) = (– ∞ , ∞ )

dom ƒ(x) = (– ∞ , ∞ )

g (x) = sec 2 x

ƒ ′ (x) = 1/x for all x ∈ (0, ∞ )

Text Solution

Verified by Experts

The correct answer is:

2x dx = ƒ (g(x)) + c

⇒ cosec 2x = ƒ ′ (g(x)) g ′ (x)

⇒ × sec 2 x = ƒ ′ (g(x)) g ′ (x)

∴ ⇒ ƒ(x) = , g ′ (x) = sec 2 x

Dom. ƒ(x) = (– ∞ , ∞ ) – {0}, g (x) = tan x + c

Range g(x) = (– ∞ , ∞ ).

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