1 Introduction to Volumes by Slicing
2 Volumes by Slicing: Understanding the Annulus
3 Volumes by Slicing: Volume Generated by Rotation About y = 6
4 Volumes by Slicing: Rotation around x = 1
5 Calculating a Volume Rotated Around x = y (1 of 2: Determining Radius)
6 Calculating a Volume Rotated Around x = y (2 of 2: Forming/Evaluating Integral)
7 Applications & Implications of d/dx(½v²): General Case
8 Evaluating a Volume by Slices & by Shells
9 Introduction to Volumes by Cylindrical Shells: Visual Comparison with Slicing
10 Generalising from Volumes by Slices & Shells
11 Introduction to Volumes by Similar Cross-Section: Square Pyramid
12 Volumes by Cross-Section: Circular Slanted Roof
13 Useful Tricks for Evaluating Integrals from a Volume
14 Volume of a Sphere: Three Different Derivations
15 Volume of a Tetrahedron (by similar cross-sections)
16 Volumes by Cylindrical Shells (example question from exam)
17 Volumes by Slices (example question from exam: hole drilled through sphere)
18 Newton's Method (1 of 2: How does it work?)
19 Newton's Method (2 of 2: Potential Dangers)
20 Volumes (Ext II) (How does Volumes Fit in with the other mathematics courses)
21 Volumes by Slicing (1 of 4: Proving the Volume formula integral)
22 Volumes by Slicing (2 of 4: Finding the Volume of a Typical Slice to calculate a volume)
23 Volumes by Slicing (3 of 4: Rotating an area around an axis apart from coordinate axis)
24 Volumes by Slicing (4 of 4: Harder Volumes by Slicing Question)
25 Harder Volumes by Slicing (1 of 3: Finding the orientation of slices and volume of typical slice)
26 Harder Volumes by Slicing (2 of 3: Using a triangle to find x in terms of a defined variable 'h')
27 Harder Volumes by Slicing (3 of 3: Converting to one single variable to integrate for the volume)
28 Volume by Cylindrical Shells (3 of 3: Finding the Volume via Cylindrical Shells and which to choose)
29 Volumes by Shells (1 of 3: Overview of Volumes done so far)
30 Volumes by Shells (2 of 3: Introduction to Cylindrical Shells & finding typical volume)
31 Worked Example of Volumes by shells (Finding the volume of an area between two curves)
32 Choosing between Slices and Shells (1 of 2: Volume when cosx is rotated around y axis by slicing)
33 Choosing between Slices and Shells (2 of 2: Finding the volume and the benefits of shell method)
34 Volumes by Similar Cross Sections (1 of 2: Using integration to find a non-rotated volume)
35 Volumes by Similar Cross Sections (2 of 2: Using a typical cross section volume to find the volume)
36 Volumes by Similar Cross Section (1 of 4: Presenting information from the question with a diagram)
37 Volumes by Similar Cross Section (2 of 4: Finding the area of a typical volume)
38 Volumes by Cross Section (4 of 4: Finding the side length in term of h and finding the volume)
39 Volumes by Similar Cross Section (3 of 4: Finding the volume of a double quarter pipe)
40 Simpson's Rule for Volumes