For an integer n, the integral cos 3 (2n +1) x dx has the …

Maths Definite Integral and Area Under Curves General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

For an integer n, the integral cos 3 (2n +1) x dx has the value

π π

None of these

Text Solution

Verified by Experts

The correct answer is:

I = cos 3 (2n +1) x dx

= cos 3 (2 n + 1) ( π π – x) dx

= cos 3 (2 n π π + π π – (2 n + 1) x) dx

= – cos 3 (2n + 1) x dx = –I.

Hence 2 I = 0 ⇒ ⇒ I = 0.

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