If f(x) is a function satisfying f + x 2 f(x) = 0 for all …

Maths Definite Integral and Area Under Curves General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If f(x) is a function satisfying f + x 2 f(x) = 0 for all non-zero x, then equals to :

sin θ + cosec θ

sin 2 θ

cosec 2 θ

none of these

Text Solution

Verified by Experts

The correct answer is:

+ x 2 f(x) = 0 ⇒ f(x) = –

⇒ =

= t ⇒ dx = dt

⇒ Ι = ⇒ Ι = – = – I ⇒ 2 Ι = 0 ⇒ Ι = 0

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