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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
If [t][t] stands for the integral part of tt, then ∫05π/12[tan⁡x]dx=\int\limits_{0}^{5 \pi / 12}[\tan x] d x=
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Correct option: C
π4\frac{\pi}{4}
Option C (π4\frac{\pi}{4}) is correct because after using the properties of the greatest integer function and trigonometric functions, the integral evaluates to π4\frac{\pi}{4}.

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