When we first learned to take an antiderivative, we lacked the elegance of having a mathematical symbol to denote the operation. Since evaluating a definite integral involves first finding an antiderivative, why don't we just strip the definite integral sign of its limits of integration and use that unadorned symbol to indicate antidifferentiation? Duration: 7:48

With our new symbol unanimously accepted, we know that Examples 1, 2, and 3 are essentially asking us to find the antiderivative of a function, something we learned to do at the beginning of the module. Duration: 5:37

You know how we have been avoiding using the calculator as if its various buttons and surfaces transmit plagues to the user instead problem answers? Well, Example 4 will change all that, providing a nice inoculation against those definite integrals we wish to approximate. Duration: 9:24

For example 5, evaluate the definite integral below by hand, then check your answer using a graphing utility.

Probably the toughest part of Example 5 was the arithmetic, am I right? Here is a recap of that problem. Duration: 6:41