Let for and define

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

f(x)=x-2

for

0\le x\le4

and define

F(x)=\displaystyle\int_{0}^{x}(t-2)\,dt

. Determine the interval(s) on

[0,4]

where

F

is (i) increasing, and (ii) decreasing.