I explain how to use integration to find the revenue function when we know an expression for the marginal revenue. The same technique can be used to find the cost or the profit, etc. when we know the marginal cost, or the marginal profit, etc. The following problem is explained in this video:
The marginal revenue (in dollars per unit) earn producing x units is given by R'(x)=30x/(3x^2+16,807)^(4/5). Find an expression for the Revenue of the company.