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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
The value of I=∫0π/2(sin⁡x+cos⁡x)21+sin⁡2xdxI=\int\limits_{0}^{\pi / 2} \frac{(\sin x+\cos x)^2}{\sqrt{1+\sin 2 x}} d x, is
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Correct option: C
22
The correct answer is C (22) because the integral simplifies to ∫0π/2(sin⁡x+cos⁡x)dx\int_0^{\pi/2} (\sin x + \cos x) dx, which evaluates to 2.

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