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JEE Math Practice Question

$$\int\limits_{0}^{2}\left(\left|2 x^{2}-3 x\right|+\left[x-\frac{1}{2}\right]\right) \mathrm{d} x$$, where [t] is the greatest integer function, is equal to :

  1. A.$$\frac{7}{6}$$
  2. B.$$\frac{19}{12}$$
  3. C.$$\frac{31}{12}$$
  4. D.$$\frac{3}{2}$$

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