Turns out, evaluating a definite integral is a intellectually stimulating experience bordering on tedium. Under certain circumstances, we lesson the severity of that tedium by applying a geometric formula where applicable. Duration: 11:36

The following video introduce a two special properties of integrals, which basically answer these two questions: What happens when the limits of integration are the same number, and what happens when the order of the limits is reversed, large on on the bottom, and small one on the top? Duration: 4:49

Do you remember (fondly) the Segment Addition Postulate from Geometry? Well, there is an analogous property for Integrals called the Additive Interval Property. Duration: 3:19

If you recall some of the properties of summations from our last lesson, the following properties of definite integrals should look familiar, especially the fact that a sum of a sum or difference is the sum or difference of the sums. Duration: 16:24

The last handful of properties involve inequalities, which could come in handy in those rare instances in which evaluating a definite integral is too cumbersome if not entirely impossible. Duration: 8:59