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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
Let [.] denote the greatest integer function, then the value of ∫01.5x[x2]dx\int\limits_{0}^{1.5} x\left[x^2\right] d x, is
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Correct option: B
34\frac{3}{4}
Option B (34\frac{3}{4}) is correct because the integral is evaluated by breaking it into intervals where the greatest integer function has a constant value.

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