If sin x cos x dx = l n f(x) + c, then f(x) is –

Maths Indefinite Integral General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Text Solution

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The correct answer is:

Given sin x cos x dx = l n f(x) + c

Differentiating both sides w.r.t.x then

f(x) sin x cos x = .

⇒ 2(b 2 – a 2 ) sin x cos =

⇒ 2b 2 sin x cos x – 2a 2 sin x cos x =

Integrating both side w.r.t.x we get

–b 2 cos 2 x – a 2 sin 2 x = –

Or f(x) =

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