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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard
1 of 1
Application +4 | -1
If ∫π2x3−2sin⁡2tdt+∫0ycos⁡tdt=0\int\limits_ {\frac{\pi}{2}}^x \sqrt{3-2 \sin ^2 t} d t+\int\limits_{0}^y \cos t d t=0 then (dydx)(π,π)\left(\frac{d y}{d x}\right)_{(\pi, \pi)} is equal to -

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Correct option: B
3\sqrt{3}
Option B (3\sqrt{3}) is correct because it is the value of the derivative dy/dx at the specified point, obtained through implicit differentiation and substitution.

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