After detailing a number of general guidelines for choosing an appropriate u, we apply those principles to a couple indefinite integrals, the second of which demonstrates how to deal with a situation in which your integrand doesn't exactly contain your entire du. Duration: 9:20

Examples 4 and 5 present two more straight-forward applications of integration by substitution. Duration: 4:02

This escalates rather quickly. Remember when I said that if you we could fix a missing constant by essentially multiplying by a Fancy One, but that you couldn't fix an extra function. Well, sometimes you can, but not in the same way. Duration: 11:47

The trig integral in Example 8 leads us directly to the General Power Rule for Integration, which could potentially speed up the process of finding the antiderivative of some key problems. Duration: 8:39

Recall that we have an antiderivative rule for something like sec x tan x, but we don't have one for just sec x or tan x. Integration by substitution will enable the derivation of such a rule. Duration: 10:56