Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...

If you have a function representing rate, what does the area under its curve represent? Area under rate function gives the net change. The definite integral of a rate function gives us the net change in the quantity described by the rate.

Using definite integral to solve a word problem about the growth in the population of a town.

Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...

By integrating the difference of two functions, you can find the area between them. Created by Sal Khan.

[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...

[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.

This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".