Intro to Antiderivatives/Integrals! (Calculus 1)

This lesson is an intro to Antiderivatives, a function that undoes derivatives. Antioderivatives are useful for finding the original function given a derivative, but can also be used to find the ares under any curve or between two curves. Antiderivatives are also known as integrals and are one of the most important concepts in all of Calculus. Subscribe:    / @callumculus   Follow me on TikTok:   / callumculus   Follow me on Twitter:   / calharveyslager   Hi there! Today's lesson is about Antiderivatives, a tool we can use to find the original function given a derivative. Antiderivatives work backwards compared to derivatives, undoing differentiation. But, that's not the only use for Antiderivatives, as they can also be used to find the area under a curve between any two points, and even between curves! This video introduces the basics for Calculus 1 students. Subscribe today if you need help in your math classes, need a refresher, or just want more entertaining math tutorials! 0:00 Intro 0:27 Definition of the Antiderivative 2:47 Rules of Antidifferentiation 5:10 Example 1 7:10 Example 2 8:10 Example 3 10:21 Example 4 16:19 Antiderivatives of Trig Functions 19:11 Area Under a Curve 21:21 Example 5 (area under a curve) 23:51 Outro