The points of extrema of f(x)= _ 0 ^ x t t d t in the domain x>0 are :
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The points of extrema of \(f(x)=\int_{0}^{x} \frac{\sin t}{t} d t\) in the domain \(x>0\) are :
- \((2 n+1) \frac{\pi}{2}, n=1,2, \ldots .\)
- \((4 n+1) \frac{\pi}{2}, n=1,2, \ldots\)
- \((2 n+1) \frac{\pi}{4}, n=1,2, \ldots\)
- \(\cap \pi_{1} \cap=1,2, \ldots\)
Answer
(A) (2 n+1) 2 , n=1,2, .
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