Chapter 1, Problem 1.12P

For $0\le t\le 5\text{s,}$ the current through a device is $i\left(t\right)=3t\text{A}\text{.}$ For $5<t\le 10\text{s,}$ the current is $i\left(t\right)=30-3t\text{A,}$ and $i\left(t\right)=0\text{A}$ for $t>10\text{s}\text{.}$ Sketch $i\left(t\right)$ versus time and find the total charge flowing through the device between $t=0\text{s}$ and $t=10\text{s}\text{.}$