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Previous Year Question (PYQs)



The area bounded by the curve $y = \sin x$ and the x-axis between $x = 0$ and $x = 2\pi$ is …… sq units.





Solution

Area $= \int_0^{2\pi} |\sin x| \, dx = 2 \int_0^{\pi} \sin x \, dx = 2[ -\cos x ]_0^{\pi} = 2(2) = 4.$


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