Week 3

Areas between curves

Suppose we want to find the area between two curves, from $x=a$ to $x=b$. This area is represented by the definite integral
$$\int_{a}^{b} (f(x)-g(x)) dx$$
where $f(x)\geq g(x)$ $\forall x \in [a,b]$. $f(x)$ would be the "upper" curve, and $g(x)$ would be the "lower" curve.

Coming up next: volumes.