The function is given by p(x)= cases 1, & 0 x<1, 2, & 1 x<2, 3-x, & 2 x 3

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

Problem

The function

p

is given by

p(x)=\begin{cases}1, & 0\le x<1,\\ 2, & 1\le x<2,\\ 3-x, & 2\le x\le 3.\end{cases}

Determine

\int_{0}^{3} p(x)\,dx