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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
1 of 1
Application +4 | -1
Evaluate [∫0πdx1+2sin⁡2x]\left[\int\limits_{0}^\pi \frac{d x}{1+2 \sin ^2 x}\right] where [⋅][\cdot] denotes greatest integer function.
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Correct option: A
1
Option A (1) is correct because the definite integral evaluates to π3\frac{{\pi}}{{\sqrt{{3}}}}, and the greatest integer function of that value is 1.

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