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Q.

∫03/2[x2]dx,  where [] denotes the greatest integer function is

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a

2+2

b

2−2

c

4+22

d

4−22

answer is B.

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Detailed Solution

∫03/2[x2]dx=∫01[x2]dx+∫12[x2]dx+∫23/2[x2]dx =∫010dx+∫121dx+∫23/22dx =0+[x]12+[2x]23/2 =2−1+3−22=2−2
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