Let f: [- 2 , 2 ] R be a continuous function such that f(0)=1 and _ 0 ^ 3 f(t) d t=0 Then…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let \(f:\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \rightarrow \mathrm{R}\) be a continuous function such that \(f(0)=1 \text { and } \int_{0}^{\frac{\pi}{3}} f(t) d t=0\)
Then which of the following statements is (are) TRUE?
Then which of the following statements is (are) TRUE?
- The equation f(x) – 3 cos3x = 0 has at least one solution in
- The equation f(x) – 3 sin3x =
has at least one solution in 
Answer
(C)
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