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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
The value of ∫032π/31+cos⁡2x dx\int\limits_{0}^{32 \pi / 3} \sqrt{1+\cos 2 x} \, d x, is
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Correct option: B
44−32\frac{44-\sqrt{3}}{\sqrt{2}}
Option B (44−32\frac{44-\sqrt{3}}{\sqrt{2}}) is correct because the integral is evaluated by breaking it into intervals where cos(x) is either positive or negative.

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