Chapter 4, Problem 12RE

Business: total cost. The marginal cost, in dollars, of producing the xth car stereo is given by

$C\text{'}\left(x\right)=0.004x^2-2x+500$

Approximate the total cost of producing 300 car stereos by computing the sum

${\displaystyle \underset{i=1}{\overset{6}{\sum }}C\text{'}\left(x_i\right)}\Delta x$ with $\Delta x=50$. Find each antiderivative.