What are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is...

Physics and math are closely associated in the science community. High schoolers use information in the video to determine how derivatives and calculus help them understand our local environment. They complete problems that relate to...

The concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution...

Class members view how to derive the formula to integrate by parts with a video that uses the Product Rule from the beginning of AP Calculus to derive the rule to integrate products. The resource shows the...

Present examples of trigonometric integrals with a video that shows an example of determining a trigonometric integral. The AP Calculus example shows that many of the trigonometric integrals require manipulation and using trigonometric...

Demonstrate a complex integration by using partial fractions with an AP Calculus resource that works an example of integrating a rational function. The function's denominator has linear factors with one of them repeated. 

The three most important words for cybersecurity? Secrecy, integrity, and availability. The 31st installment of an informative video series describes cybersecurity measures in the digital age. It explains the three different goals of...

It's high time you taught your physics scholars about airplanes. Tour the manufacturing facility of one of the world's largest passenger planes, the Airbus 350, in a narrated video. Explore the birth of this machine, from sketches by...

Learn about the orbit of the International Space Station directly from an astronaut on the International Space Station! Young scholars hear about the shape and path of orbits from a NASA astronaut in the video lesson from a larger...

Shells sometimes work better than washers. The AP Calculus video presents an example of finding the volume of a rotational solid by using the shell method. The method uses the integral of the lateral surface area of a cylinder as...

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...

Ap Calculus classes learn how to solve a differential equation by getting like variables together with a video that presents an example of how to solve a differential equation by using the method of separation of variables. The...

Investigate the rate of change of graphs at a defined point with a video that explains the concept of a tangent line and how to find the slope of this line at a given point on a curve. The narrator also makes the connection to the...

How many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to...

Viewers learn how to calculate the volume when the cross section is not a circle by using the same principle as if it was a circle. The video goes through an example of finding the volume of a figure where the cross sections are squares...

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...

What is coral bleaching? Tackle a trendy topic with a narrated animation. Through a combination of video and illustration, the narrator introduces viewers to a coral reef, then goes inside a coral polyp to show its symbiotic relationship...

What do Newton's Law of Gravitation and the moon's orbit have in common? Assist pupils as they view a short video segment and learn the gravitational methods of the moon and earth. They learn the reason why and how these have changed...

Viewers learn how to find the average of a variable density with a video made for AP Calculus. The presenter applies the formula to find the average value of a function with an example that provides a density function for a rod. The...

Here's an AP Calculus resource that works an example problem of finding the volume where the cross sections of a solid are washer shaped. In the example the axis of rotation is vertical, creating horizontal washers.

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...

As the song says, "Once this song is through, you'll know how to tell, the words that begin with the letter L." Listen and sing along to the melodic tune of an instructional video highlighting L-letter words.   

Who do we have to thank for inventing calculus? Whether you love or hate it, the credit goes to two people - Sir Isaac Newton and Gottfried Wilhelm von Leibniz. Learn about their myriad of accomplishments in science and math during the...