Let , then | Column I | Column II | |---|---| | (A) For , the value of is | (p) 0 | |…

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

Let

\lim_{T \to \infty} \frac{1}{T} \int_{0}^{T} (\sin x + \sin ax)^2 dx = L

, then

Column I	Column II
(A) For $a = 0$ , the value of $L$ is	(p) 0
(B) For $a = 1$ , the value of $L$ is	(q) 1/2
(C) For $a = -1$ , the value of $L$ is	(r) 1
(D) For $a \in \mathbb{R} - \{-1, 0, 1\}$ , the value of $L$ is	(s) 2