The function F(x)= _ / 6 ^ x (4 t+3 t) d t attains least value on [π/4, 3π/4] at x equals.
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
The function \(F(x)=\int_{\pi / 6}^{x}(4 \sin t+3 \cos t) d t\)
attains least value on [π/4, 3π/4] at x equals.
attains least value on [π/4, 3π/4] at x equals.
- \(\frac{\pi}{3}\)
- \(\frac{\pi}{3}\)
- \(\frac{3 \pi}{4}\)
- \(\frac{\pi}{4}\)
Answer
(D) 4
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