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int(0)^(3)[x]dx=. . . ., where [x] is gr...

`int_(0)^(3)[x]dx=`. . . ., where [x] is greatest integer funcction.

A

3

B

0

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Let `l=int_(0)^(3)[x]dx`
`=int_(0)^(1)0dx+int_(1)^(2)1dx+int_(2)^(3)2dx=[x]_(1)^(2)+2[x]_(2)^(3)`
`=(2-1)+2(3-2)=1+2=3`
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