Mathematics-Area under a Curve between two Points

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.