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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫020π(∣sin⁡x∣+∣cos⁡x∣)2dx\int_0^{20 \pi}(|\sin x|+|\cos x|)^2 d x is equal to
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Correct option: D
20(π+2)20(\pi+2)
The correct answer is D (20(π+2)20(\pi+2)) because it is the result of evaluating the definite integral ∫020π(∣sin⁡x∣+∣cos⁡x∣)2dx\int_0^{20 \pi}(|\sin x|+|\cos x|)^2 dx as shown in the step-by-step solution.

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