Finding the volume of the solid generated by rotating a bounded planar region about an axis of rotation is discussed. We cover the disk method, the washer method, and the method of cylindrical shells. We provide several examples of solids generated by revolving around both vertical and horizontal lines.
If you already know the Fundamental Theorem of Calculus and find the area under a graph of a function, you are ready to find the area between curves. In this article, I’ll show you how to find the area of a region bounded by two curves. I’ll demonstrate both using vertical strips and horizontal strips.
So now that you understand infinite series, it’s time to dive into power series. In this article, I explain what power series are and discuss the convergence of power series, including the radius of convergence. After that, I cover differentiating and integrating power series and finally combining power series.