The value of

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

The value of

\int_{-1}^{3}\left\{|x-2|+[x]\right\}\,dx

, where

[\,\cdot\,]

denotes the greatest integer function, is equal to (1)

5

(2)

6

(3)

7

(4) None of these