In this module, we will cover integration, tackling the second major problem in calculus: the area problem.
Left Riemann Sums
Here we cover a technique used to approximate the area under a curve: the Left Riemann Sum.
Right Riemann Sums
In this video, we consider another method for estimating the area under a curve: the Right Riemann Sum.
Midpoint Riemann Sums
Here we cover another technique for estimating the area under a curve, this time using midpoints.
Trapezoidal Riemann Sums
We consider one final method for approximating the area under a curve: the Trapezoidal Sum.
Riemann Sum Example
Here we cover an example involving Riemann sums, using the four methods covered in the previous videos.
In this video, we take a break from considering the area under a curve. We consider antiderivatives. Later, these antiderivatives will be us...
Addition, Subtraction, and Constant Rules
In this video, we cover three more rules for integration that are somewhat intuitive.
In this video, we cover the six common integrals in AP Calculus AB. They should look familiar...
We cover several special integrals that will be of importance in the next few videos.
Here we consider a situation where double u-substitution is required. It is somewhat analogous to the triple chain rule introduced in the di...