Calculus I: Antiderivatives and Indefinite Integrals

In this video, we discuss the idea of an antiderivative, or the "undoing" of a derivative which leads us to talk about the idea of an indefinite integral. We discuss some small properties, provide a list of "common" integrals and do several examples.

00:00 - Introduction
00:58 - Antiderivatives
10:47 - Indefinite integrals
14:07 - Properties of indefinite integrals
17:01 - Example 1
20:35 - List of common indefinite integrals
27:44 - Example 2
29:23 - Example 3
33:38 - Example 4
34:26 - Example 5
36:58 - Example 6
39:02 - Example 7
44:09 - Example 8
46:17 - Example 9

[MathforThought]

At 29:02, it should say 2t^-5. I wrote 2t^5 by accident.
At 34:05, it should say y+c instead of x+c since we are integrating with respect to y and not x.

[alonzoozar]

I'd be lost with antiderivatives without you. Thank you! This was very helpful

[IDareYou]

At 34:05 I think it should be y+c right?
Other than that great video thank you..