Think of the next few examples as guide rails leading us to the discovery of the Second Fundamental Theorem of Calculus. I have a feeling that you're going to like this one. Duration: 6:23

Here then is the formal statement of FTC2. Stay tuned to the end where I tie this one back to FTC1. Also, be sure to like, subscribe, turn on notifications. I have questionable mathematics stating that 90% of the people forced to watch my videos are not subscribed. Duration: 7:38

Duration: 6:26

As you are about to witness, FTC2 is going to make evaluating a series of definite integrals a pleasant and worry-free experience. Duration: 5:23

That FTC2 sure has made evaluating definite integrals a breeze, but what are you supposed to do when you can't find an antiderivative? Example 11 presents such a case, and don't worry, we still don't have to revert back to a the limit of a Riemann sum. Duration:7:22

These last two examples should put a tasteful capstone on this lesson. Shouldn't take more than six more minutes of your precious time. It would take longer just to make a vat of mac and cheese. Duration: 5:41