Area Between Curves

Formula

$$A={\int }_a^b\left[f(x)-g(x)\right]dx$$

top curve minus bottom curve

You must determine

• Bounds (if not given, find intersection points)
• Which is top and bottom (find by sketching)
• If the curves would intersect within the bounds (would need separate integrals for each section because top and bottom would change at intersections)

With respect to y

• When curves are next to each other
• a is the bottom point and b is the top point
• right curve minus left curve