8:29
Derive the Area of a Circle Using Integration (x^2+y^2=r^2)
Mathispower4u
4:41
Derive the Area of a Circle by Integrating the Circumference
4:13
Derive the Volume of a Sphere Using Integrating the Surface Area
4:00
Derive the Volume of a Sphere Using Integration (Disk Method)
7:08
Arc Length - Part 1 of 2
4:52
Arc Length - Part 2 of 2
4:04
Ex: Find the Arc Length of a Linear Function
6:28
Ex: Find the Arc Length of a Radical Function (Rational Exponent)
7:26
Ex: Find the Arc Length of a Quadratic Function
9:47
Surface Area of Revolution - Part 1 of 2
5:43
Surface Area of Revolution - Part 2 of 2 (about y-axis)
8:16
Ex: Surface Area of Revolution - Linear Function
10:10
Ex: Surface Area of Revolution - Sine Function
6:05
Ex: Find the Surface Area of Revolution of a Cubic Function About the x-axis
Ex: Find the Surface Area of Revolution of a Square Root Function About the x-axis
6:18
Ex: Find the Surface Area of Revolution of a Quadratic Function About y-axis (Respect to x)
6:30
Ex: Find the Surface Area of Revolution of a Cube Root Function About y-axis (Respect to y)
7:29
Ex: Determine the Work Required to Pump Water Out of a Circular Cylinder
8:48
Ex: Determine the Work Required to Pump Water Out of Trough (Isosceles Triangle)
7:30
Ex: Determine the Work Required to Pump Water Out of Trough (Quadratic Cross Section)
3:59
Ex: Find the Work Lifting a Leaking Bucket of Sand Given Mass
8:03
Ex: Find the Work Lifting a Leaking Bucket of Sand and Rope Given Mass
6:10
Ex: Determine the Center of Mass of Three Point Masses on the Coordinate Plane
7:15
Ex: Find the Centroid of a Region Consisting of Three Rectangles
10:43
Ex: Find the Centroid of a Triangular Region on the Coordinate Plane
9:23
Find the Centroid of a Bounded Region Involving Two Quadratic Functions
8:49
Ex: Find the Centroid of a Bounded Region Involving the Sine Function Using the TI84
3:54
Ex: Find the Hydrostatic Force on a Horizontal Plate (No Calculus)
9:42
Ex: Find the Hydrostatic Force on a Vertical Plate in the Shape of an Isosceles Triangle
9:54
Ex: Find the Hydrostatic Force on a Dam in the Shape of a Degree 4 Polynomial
7:28
Ex: Find the Hydrostatic Force on a Semicircle Window Submerged in Water
Calculating Work: Three Introductory Problems
2:02
Calculating Work Given a Rational Force Function
2:25
Calculating The Mass of a Wire Given a Quadratic Density Function (1D)
3:01
Calculating The Mass of a Rod Given a Variable Force: Exponential Density Function (1D)
2:40
Calculating the Mass of a Circular Object with a Cubic Density Function
4:10
Calculating the Mass of a Circular Object with a Trigonometric Density Function
3:29
Determine the Center of Mass of a Rod with Constant (Uniform) Density
4:33
Determine the Center of Mass of a Rod with Variable Density
5:53
Integration App: Determine the Amount of Work to Pump Water Out the Spout on a Spherical Tank
5:39
Integration App: Determine the Amount of Work to Pump Water Out of an Inverted Cone Tank