<p>Area bounded by \(y=\sin x\) and x-axis from \(x=0\) to \(x=2\pi\). [JEE Main 2023]</p>
Step-by-Step Solution
Key Concept: sin x is positive on (0,\pi) and negative on (\pi,2\pi). Area = \int_0^\pi sin x dx + |\int_\pi^(2\pi) sin x dx| = 2+2=4.
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<p>$$A=\int_0^\pi\sin x\,dx+\left|\int_\pi^{2\pi}\sin x\,dx\right|=2+2=\boxed{4}$$</p>
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Correct Answer: B