If ƒ(x) = and g(x) = sin x, then (x) cos (x) dx =

Maths Indefinite Integral General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

sin x – tan –1 (sin x) + c

cos x – tan –1 (sin x) + c

cos x + tan –1 (sin x) + c

sin x – tan –1 (cos x) + c

Text Solution

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The correct answer is:

I = (x) cos (x) dx = cos x dx

= cos x dx = cos x dx.

= (where sin x = t ⇒ cos x dx = dt)

= – dt = t – tan –1 t + c

= sin t – tan –1 (sin t) + c.

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