Professor Dave Explains
What is Integration? Finding the Area Under a Curve
An introduction to the concept of integration.
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals
Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...
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 - 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...
Flipped Math
Calculus AB/BC - Approximating Areas with Riemann Sums
There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...
Flipped Math
Calculus AB/BC - Exploring Accumulation of Change
Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...
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...
Corbett Maths
Area under a Graph
What? The calculation of area is a linear distance? A short video shows how to use the areas of simple polygons to estimate the area under a graph. Pupils divide the area under a curve into figures to easier calculate the area. Given...
Domain of Science
Calculus, What Is It Good For?
Explore the meaning of differentiation and integration. A video lesson describes in detail what differentiating and integrating an equation means using the momentum and kinetic energy formulas. Progressing from a linear to a quadratic...
3Blue1Brown
Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance...
3Blue1Brown
Essence of Calculus, Chapter 1
Dive into the essence of calculus. The first installment of an 11-part playlist introduces the video series by looking at the area of a circle and the area under curves. The narrator explains how to look at calculus as taking a hard...
3Blue1Brown
What Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9
It seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.
Educator.com
Finding The Area Under a Curve Using Rectangles
Here's an AP Calculus video that provides a discussion on determining an approximate for the area under a curve by calculating the sum of areas of rectangles that is smaller than the area and by finding the sum of areas of...
Educator.com
Areas Between Curves
There are times that it is necessary to add areas to find the area between the curves. The video for AP Calculus presents how to find the area between curves by subtracting the area under the lower curve from the area under the upper...
Brightstorm
Approximating Area Using Rectangles
Finding area using rectangles—isn't that a little too simplistic for a calculus course? Viewers learn how to approximate area under a curve using rectangles in the first installment of a seven-part video series on the definite integral....
Khan Academy
Khan Academy: Calculus: Definite Integrals (Area Under a Curve) (Part Iii)
Video lesson explaining why the antiderivative is the area under a curve. Provides an introduction to the fundamental theorem of calculus. [9:46]
Math TV
Math tv.com: Calculus: Applications of Integration (Area)
Students learn how to find the area under a curve using integration. The learning resource consists of a video tutorial with detailed examples. In the left hand menu, click on Calculus, Applications of Integration, Area.
Khan Academy
Khan Academy: Riemann Sums and Definite Integration: Riemann Sums and Integrals
A video showing how to find the area under a curve using Riemann Sum.
Khan Academy
Khan Academy: Intuition for Second Fundamental Theorem of Calculus
A video showing a way to evaluate a definite integral.
Khan Academy
Khan Academy: Rectangular and Trapezoidal Riemann Approximations
A video showing different ways to find the area under a curve.
Khan Academy
Khan Academy: Definite Integrals: Evaluating Simple Definite Integral
This video shows how to find the exact area under a curve by evaluating a definite integral.
Khan Academy
Khan Academy: 2011 Calculus Ab Free Response #2 (A & B)
Calculus AB example questions: Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals
Khan Academy
Khan Academy: Simple Riemann Approximation Using Rectangles
A video approximating the area under a curve using inscribed rectangles.
Khan Academy
Khan Academy: Generalizing a Left Riemann Sum With Equally Spaced Rectangles
Video showing how to find the are under a curve.