<p>Evaluate \(\displaystyle\int_0^{10\pi}|\sin x|\,dx\) [JEE Main 2020]</p>
Step-by-Step Solution
Key Concept: |sin x| has period \pi, \int_0^\pi|sin x|dx = 2. So \int_0^(10\pi) = 10 \cdot 2 = 20.
<div class='solution'><p>$\int_0^{10\pi}|\sin x|\,dx = 10\cdot\int_0^\pi\sin x\,dx = 10\cdot 2 = \boxed{20}$</p>
Correct Answer: A