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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
If [x][x] denotes the greatest integer less than or equal to xx, then the value of the integral ∫02x2[x]dx\int\limits_{0}^2 x^2[x] d x equals
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Correct option: B
7/37 / 3
Option B (7/3) is correct because the integral is evaluated by splitting the interval based on the greatest integer function's value.

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