Final answer:
To calculate the area between two curves, find the points of intersection and integrate the difference between the two functions.
Step-by-step explanation:
To calculate the area between two curves, you need to find the points of intersection between the curves and then integrate the difference between the two functions. Here are the steps:
- Find the points of intersection by setting the two functions equal to each other and solving for x.
- Integrate the difference between the two functions from the lower x-value to the higher x-value to find the area.
For example, if you have the functions y = x^2 and y = 2x, you would first find the points of intersection by setting x^2 = 2x and solving for x. Then, you would integrate the difference between the two functions from the lower x-value to the higher x-value.