int(-2)^(2) min(x-[x],-x-[x])dx equals, ...

`int_(-2)^(2) min(x-[x],-x-[x])dx` equals, where [x] represents greates integer less than or equal to x.

A

2

B

1

C

4

D

0

Text Solution

Verified by Experts

The correct Answer is:

B

The graph of `f(x) =min(x-[x], -x-[-x])dx` is as shown in fig.9

`underset(-2)overset(2)int f(x)dx=4underset(0)overset(1)intf(x)dx=4xx(1)/(2)xx1xx(1)/(2)=1`

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