Hi there! Today I have released Lesson 65 of my Calculus 3 series. In this lesson you will be introduced triple integrals!

In particular you will learn about:

1. What triple integrals represent at a basic level
2. How to evaluate triple integrals that are already set up

As with how I covered do...

Hi there! Today I have released Lesson 64 of my Calculus 3 series. In this lesson we learn how to find surface area using double integrals!

In particular you will learn:

1. How to approximate surface area of multivariable functions
2. How to find the exact surface area using double integrals
3. A co...

Hi there! Today I have released Lesson 63 of my Calculus 3 series. In this lesson we learn about an application of double integrals!

Specifically you will learn:

1. How to find the mass of a planar lamina with variable density
2. How to find the first moments & center of mass for a lamina using do...

Hi there! Today I have released Lesson 62 of my Calculus 3 series. In this lesson we learn how to find the volume between two surfaces.

Specifically you will learn:

1. How to find the region for a solid formed by intersecting surfaces
2. How to setup a double integral to find the volume between tw...

Hi there! Today I have released Lesson 61 of my Calculus 3 series. In this lesson we learn about a new way to solve double integrals!

Specifically you'll learn:

1. Why and when you will want to use polar coordinates to solve double integrals
2. How to setup and evaluate double integrals in polar c...

Hi there! Today I have released Lesson 60 of my Calculus 3 series. In this lesson we learn about the average value of multivariable functions!

In particular, we'll cover:

1. A review of the average value of a single variable function
2. How to find the average value of a multivariable function

Hi there! Today I have released Lesson 59 of my Calculus 3 series. In this lesson we continue learning about double integrals!

Specifically you will learn:

1. How to setup the bounds of integration for double integrals over rectangular and non-rectangular regions (Fubini's Theorem) 
2. How to calc...

Hi there! Today I have released Lesson 58 of my Calculus 3 series. In this lesson we begin learning about double integrals!

Specifically, this video covers:

1. How to integrate a multivariable function with respect to each independent variable
2. How to evaluate double integrals that are already s...

Hi there! Today I have released my first new video of 2026, the 57th Lesson of my Calculus 3 series! In this lesson we begin the 4th unit on Multiple Integration by learning about approximating volume under a surface.

In particular you will learn:

1. The connection between volume approximation a...