Hi! Can I have some step-by-step help on this? Please and thank you!

A coalmine shaft that is 1000 feet long is to be extended to a length of 4000 feet. The mining contractor estimates that the price in dollars per foot, p(x) , for doing the digging is: p(x) = 200 . 1.0003x where x is the number of feet from the entrance at which the miners are digging. Calculate the cost of extending the mine from 1000 feet to 4000 feet. Do not use a calculator to evaluate the appropriate definite integral