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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
The area between the curve y=sin⁡2x,xy=\sin ^2 x, x-axis and the ordinates x=0x=0 and x=π2x=\frac{\pi}{2} is
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Correct option: B
π4\frac{\pi}{4}
Option B (π4\frac{\pi}{4}) is correct because the area under the curve y=sin⁡2xy = \sin^2 x from 0 to π2\frac{\pi}{2} is found by integrating the function, which simplifies to π4\frac{\pi}{4}.

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