AP Calculus Unit 6 Lesson 1: Introduction to Integral Calculus

Dive into the fundamentals of integral calculus in this detailed and engaging lesson. We’ll reverse the process of derivatives, exploring how to determine the area under a curve to solve real-world problems. Using relatable examples—like water flow, train speed, stadium crowd influx, and pool drainage—we illustrate how integration calculates total quantities based on rates of change.

This video is perfect for calculus students, math enthusiasts, or anyone looking to understand the foundational ideas behind integration and its real-world applications. Whether you're preparing for AP Calculus or exploring integral calculus for the first time, you'll leave with a clear understanding of how integrals represent areas and net changes.