Solve problems about motion along a line using the power of integral calculus. For example, given the velocity of a particle as a function of time v(t), find how much the particle has traveled over a given time period.
The area under a rate function gives the net change. This result of the fundamental theorem of calculus is being put here to use with some real-world problems.
We usually calculate the average of N terms by summing them up and dividing by N. How do you find the average of infinitely many terms? For example, the average of a function f(x) for all x-values between 0 and 1? Integral calculus to the rescue!
All video content by Khan Academy is under their license: CC by NC SA
Website created using Khan Academy Static Downloader