Statement - 1: The value of _ 0 ^ 2 ^ 99 x d x is 0 . Statement - 2: _ a ^ 2 a f(x) d x=2…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Statement - 1: The value of \(\int_{0}^{2 \pi} \cos ^{99} x d x \text { is } 0\).
Statement - 2: \(\int_{a}^{2 a} f(x) d x=2 \int_{a}^{a} f(x) d x .\) if \(f(2 a-x)=f(x)\).
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true but Statement - 2 is not the 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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