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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
Area traced by the region " MM " where M={(x,y)/y≤1+x,x≥0,y≤4x9}M=\left\{(x, y) / y \leq 1+\sqrt{x}, x \geq 0, y \leq 4^{\frac{x}{9}}\right\} is
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Correct option: A
27log⁡4(4e)27 \log _4\left(\frac{4}{\mathrm{e}}\right)
Option A (27log⁡4(4e)27 \log _4\left(\frac{{4}}{{\mathrm{e}}}\right)) is correct because it is the area calculated by integrating the difference between the two functions from 0 to 9.

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