Rolle’s Theorem With example

Integrating rational functions parts 1 and 2 combined

Integrating rational functions part 2

Integrating rational functions, what to look for to decide which technique to use. Part 1

Trapezoidal Rule and Simpson's Rule, Numerical Integration Methods examples

Trapezoidal Rule and Simpson's Rule Error

Trapezoidal Rule and Simpson's Rule to approximate definite integral values

The Second Fundamental Theorem of Calculus. The definite integral as a function of x.

The Mean Value Theorem of Integrals and the average value of a function on [a,b], example 3

The average value of a function on a closed interval, two examples

The Mean Value Theorem for Integrals and the Average Value of a function

Finding definite integral values the easy way! The Fundamental Theorem of Calculus.

Finding definite integral values using the Fundamental Theorem of Calculus (FTC) part 2

The Extreme Value Theorem Example

The Extreme Value Theorem, an application of derivatives

Evaluating the definite integral using the limit definition

Using the properties of definite integrals with examples, part 2

Finding a definite integral from a graph using geometry formulas

Properties of definite integrals with examples, part 1

Approximating the area of a plane region enclosed by f(x)=x^2 + 1, the x-axis, on [1, 3] with n=4.

Approximating area of a plane region, explanation of the notation

Finding the area between a curve and the x-axis by the limit definition

Approximating area of a plane region caught between the curve and the x-axis over an interval.

How do you approximate area between a function, the x-axis, over an interval using the midpoints.

U-substitution, a technique to integrate expressions involving composite functions

How do you integrate using u-substitution? Examples involving trig, exponential, and polynomials.

Elementary differential equations. Finding the position function from the acceleration function.

How to you solve basic differential equations? What is a particular solution of a differential eq?

Examples of basic indefinite integrals, part 3

Examples of indefinite integrals, some involving trig functions. Part 2