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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
The value of ∫06(x+12x−36+x−12x−36)dx\int_0^6(\sqrt{x+\sqrt{12 x-36}}+\sqrt{x-\sqrt{12 x-36}}) d x is equal to
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Correct option: A
636 \sqrt{3}
Option C (ax2+bx+c=0a x^2+b x+c=0 has atleast one root in (−2,−1)(-2,-1)) is the correct answer because the given conditions imply that there must be a root in the interval (-2, -1).

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