Area

Finding the area under one curve involves taking the integral of that curve over the interval of interest: \(\int_{a}^{b}{f(x)dx}\).

If you want to find the area between two curves ($f(x)$ and \(g(x)\)), you start by taking the integral of the top curve and subtract from that the un-wanted area - the area under the bottom curve. One more step: find where the two curves intersect. That will give you the bounds to use for the integral ($a$ and \(b\)).