## Chapter7Integration

Suppose that for a given company the marginal cost has been determined to be

\begin{equation*} \Mcost(x)=x^3+3x^2\text{.} \end{equation*}

We would like to re-construct the cost function from this data. Suppose we also know that the fixed cost is equal to \$100. How do we find out the cost for producing $$x$$ items?

We would like to relate this data to the original graph of the marginal cost. When we consider this graph we see that the estimated cost actually corresponds to the area underneath the Marginal Cost function $$\Mcost(x)\text{.}$$