Before we formally begin the lesson, let's warm up by evaluating a number of definite integrals. Now before you go freaking out about having to do eight different Riemann sums, realize that each of these definite integrals can be easily evaluated with a geometric formula. Just graph the integrand to help you get started. Hopefully, this warm-up will create an experience we can build upon as a stepping stone to the First Fundamental Theorem of Calculus. Duration: 8:07

Now we're going to define a function based upon the results of the previous video. Doing so creates a function based upon a definite integral, commonly called an accumulation function. Let's say that we wanted to take the derivative of such a function. FTC1 will instruct us how to do exactly that. Duration: 10:22

(Probably won't be on the test.) Duration: 6:21

Did you know that FTC1 has a Chain Rule version? Apparently, you can make a composition from an accumulation function. The next few examples will eventually demonstrate the use of such a thing. Also, Example 2 should have included a square root, but nobody said anything. Duration: 6:53