Riemann Sums: Videos & Practice Problems

A rectangular irrigation channel runs $60\text{ ft}$ in length and has a constant width of $20\text{ ft}$. A surveyor measures the water depth $d\left(x\right)$ at $6$-$\text{ft}$ intervals along the channel, from $x=0\text{ ft}$ at the upstream end to $x=60\text{ ft}$ at the downstream end. The measurements are shown in the table. Use the Trapezoidal Rule with $n=10$ to estimate the volume of water in the channel, given by $V={\int }_0^{60}20d\left(x\right)dx$.