WBJEE · Maths · Definite Integration
Let \(I=\int_{\pi / 4}^{\pi / 3} \frac{\sin x}{x} d x\). Then
- A \(\frac{1}{2} \leq 1 \leq 1\)
- B \(4 \leq 1 \leq 2 \sqrt{30}\)
- C \(\frac{\sqrt{3}}{8} \leq 1 \leq \frac{\sqrt{2}}{6}\)
- D \(1 \leq 1 \leq \frac{2 \sqrt{3}}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(C) \(\frac{\sqrt{3}}{8} \leq 1 \leq \frac{\sqrt{2}}{6}\)
Step-by-step Solution
Detailed explanation
We have, \[ I=\int_{\pi / 4}^{\pi / 3} \frac{\sin x}{x} d x \] since, \(\frac{\sin x}{x}\) is a decreasing function.…
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