Area under a Curve between two Points
To find the area under a curve between two points, you can use integration. Given the following two functions, answer the questions:
f (x) = x^2 – 5x + 4 and
g (x) = -x^2 + 3x +4
· What is the best method used to find the highlighted area in the graph? What can you tell about this method?
· In this example, you can see how you can find an area using integrals. How can integration be used to find a volume?
· Describe 2 examples in which integration is used in real-world applications.