Another application of definite integrals is the ability to find the arc length of curves. In algebra you learn how to find the distance between two points, or the length of a line segment using the distance formula, but this can be extended using calculus to find the length of curves.
The...
Previously we have seen how to use the the disk method (among other methods) to calculate the volume of solids of revolution with definite integrals. However, we are not limited to calculating the volume of solids of revolution, or solids with circular cross sections. We can also use definite...
So far we have seen how to use definite integrals to calculate the volume of solids of revolution with the disk and washer method. However, they are not the only methods that can be used to calculate that volume. There is an alternative method. Instead of using thin disks or thin washers to...
Previously we looked at how to use the disk method, which allowed us to use definite integrals to calculate the volume of solids of revolution. However, all of the solids we looked at so far were complete solids. But what if we had a solid of revolution that featured a hole?
To do this, we...
Another application of definite integrals is the ability to calculate the volume of solids with known cross sections. The first type of solid we will look at is a solid of revolution, or a solid with circular cross sections.
Solids of revolution are formed by revolving an enclosed region around...
In Calculus 1 you learn that the definite integral can be used to calculate the area of a region beneath a curve. However, what if we wanted to calculate the area of a region that is between two curves? It turns out, that we can also use a definite integral to calculate this area,...
Hello there! Today I am officially announcing that Calculus 2 will be the next course to be covered with a series on JK Mathematics!
Calculus 2 will cover a variety of topics, beginning with the applications of integration. Other topics include:
- Advanced Integration Techniques
- Convergence...
Hi there! If you are reading this, then that probably means that the website for JK Mathematics is now officially live! I'm very excited to have this available to current and future students who will use the resources at JK Math on Youtube to do better in their math classes.
On this website you...
