We introduce a new notation for arbitrarily many terms being added together in preparation for Riemann Sums later.

We discuss the antiderivative at a conceptual level before we dive into the mechanics.

We develop rules to quickly determine antiderivatives of most of our core functions.

We discuss how to approximate the area under a curve.

We discuss the various types of Riemann Approximation Endpoint Methods.

We discuss how to approximate the area under a curve.

We develop the algebraic techniques to actually compute the perfect approximation of area under the curve.

We introduce the idea of the indefinite integral - all the antiderivatives!

“Indefinite Integrals are a class of functions” - What?

We present the first fundamental theorem of calculus

We present the second fundamental theorem of calculus

We introduce the method of U-Sub as a way to unravel a chain rule.

We give some hints and tips on how to see and predict where a U-Sub might help.