Given below are two statements. Statement - 1: Let m be any integer. Then, the value of…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Given below are two statements.
Statement - 1: Let m be any integer. Then, the value of \(I_{m}=\int_{0}^{\pi} \frac{\sin 2 \mathrm{mx}}{\sin x} d x \text { is zero }\).
Statement - 2: \(I_{1}=I_{2}=I_{3}=\ldots=I_{m}\)
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true and Statement - 2 is not a correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(C) Statement - 1 is true and Statement - 2 is false
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