Professor Dave Explains
Double and Triple Integrals
An introduction to multivariable calculus in the way of double and triple integrals.
Professor Dave Explains
Integration by Trigonometric Substitution
An introduction to integration by trigonometric substitution.
Curated Video
Calculus: Finding Error Bound and Area of a Curve
The video involves solving an example in calculus involving finding the interval and error bound between a curve and the accessory axis. The process involves using the factor theorem, algebraic division, and factoring. The video also...
Professor Dave Explains
The Mean Value Theorem For Integrals: Average Value of a Function
Defining the mean value theorem for integrals.
Professor Dave Explains
Integration Using The Substitution Rule
An introduction to the substitution rule for integration.
Professor Dave Explains
Properties of Integrals and Evaluating Definite Integrals
How to evaluate definite integrals.
Flipped Math
Calculus AB/BC - Particular Solutions using Initial Conditions and Separation of Variables
Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...
Flipped Math
Calculus AB/BC - General Solutions Using Separation of Variables
Viewers to learn how to solve a differential equation written implicitly. Pupils find out that they must first separate the variables to take the integral of each side before solving for y to arrive at a general solution for the...
Flipped Math
Calculus AB/BC - Verifying Solutions for Differential Equations
Find out if it is truly the solution. An informative presentation provides viewers with multiple examples of finding the particular solution to a differential equation. Learners find out how to verify the solution by differentiating the...
Flipped Math
Calculus AB/BC - Applying Properties of Definite Integral
Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.
Flipped Math
Calculus AB/BC - Selecting Techniques for Antidifferentiation
Here's the antidote to ignorance on antiderivatives. Pupils try a set of problems that require finding the antiderivative. They choose from different techniques they already know to determine the indefinite integral or the definite...
Flipped Math
Calculus AB/BC - Integrating Functions Using Long Division and Completing the Square
With just a little work, integrals can become much easier. The 11th of 16 installments in Unit 6 - Integration has viewers watch a video to learn different ways to rewrite an integrand before determining the integral. They use polynomial...
Flipped Math
Calculus AB/BC - Integrating Using Substitution
U is for u-substitution. Viewers of an instructional video learn how to apply u-substitution to determine integrals for more complex functions. They first find indefinite integrals, then move on to definite integrals.
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
Flipped Math
Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
Krista King Math
Integrals - Calculus
Introduce the opposite of differentiation. Pupils learn the basic definition of integration and how to integrate a polynomial. The video shows learners how the integral is the opposite of the derivative. Individuals see how to confirm...
Krista King Math
U-Substitution in Definite Integrals
The process definitely works two ways. Viewers watch as the video shows how to use u-substitution to evaluate a definite integral. The presenter uses two different methods to evaluate the integral. One method substitutes the expression...
Krista King Math
U-Substitution
U need to substitute to make it easier to integrate. A short video shows learners how to use U-substitution to find the integral of a binomial raised to a power. In the examples, scholars do not have to determine the quantity to...
Krista King Math
Solving Integrals
Find out how to integrate when simple integration is not enough. Learners view examples of complex integrals that require a different approach to solve. The video presents three methods to solve integrals: U-substitution, integration by...
Krista King Math
Properties of integrals
Use properties properly to evaluate a definite integral. Pupils watch an informative video to see how three different properties of integrals help with the evaluation of a definite integral. The presenter uses the properties to separate...
Krista King Math
Indefinite Integrals
Generally, there's a good way to find the general form of the integral of a polynomial expression. Pupils view the determination of an indefinite integral of a simple polynomial function. The presenter takes the integral one term at a...
Krista King Math
Fundamental Theorem of Calculus Part 2
Use the Fundamental Theorem, not just look at it. Learners watch as the video walks viewers through finding the definite integral of a trigonometric function. The presenter provides helpful suggestions as she evaluates the example...
Krista King Math
Part 1 of the Dreaded Fundamental Theorem of Calculus!
Use the Fundamental Theorem of Calculus to find a derivative. With an example, pupils observe how being to derive a formula to help determine the derivative of any given integral. The video derives the formula using the first part of the...