Integration

Integration is one of the beautiful pillars of calculus. It revolves around the idea of doing the opposite of differentiation, an anti-differentiation. Sounds straight forward right? However, there is an unbelievable connection which revolutionized mathematics entirely! That result is that anti-differentiation is equivalent to the area under a curve. In this video we take a deep dive into integration and explain why it is the area under the curve. Problem Sheet: https://mathacy.com/problem-sheets Timestamps: 0:00 - Intro 1:15 - Inverse Operators 1:45 - Integrating x^n 2:46 - Adding a constant 3:44 - Integrating cos(x) 3:53 - Integrating exponentials 4:10 - Integrating 1/x 5:18 - Area under a curve 6:14 - The link between Area and Integration