Inverse trigonometric functions are applied to integrals in these examples. Test your ability to work with integrals.

A lengthy look at the rules and formulas of calculus Fourier series. Included topics: Fourier series of functions, remainders of Fourier series, Riemann's theorem, Parseval's theorem, arbitrary intervals, and Fourier transformations.

By integrating the difference of two functions, you can find the area between them. Created by Sal Khan.

In this activity, students explore the relationship between the area under the graph of a function and the integral of the function.

Students use their TI-89 to investigate Riemann sums and learn how to construct them. They take the limit of two Riemann sums and find out that the limits exist and are the same. They compare this limit to the definite integral of the...

With text and diagrams, this article surveys the communication process, which consists of a message being sent and received, either verbally or nonverbally.

The online course consists of educational materials about calculus with several variables. Lecture notes, syllabus, exams, and assignments with solutions are included.

The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...

College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.

Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.

In this activity, students use the Derive software to solve trigonometric equations, expressions with exponentials, and log equations. They also determine the equation of tangent and normal of a function; evaluate integrals, find area...

Students graph three functions on the same domain that go through the same three points. They then find the shortest of each of the paths through these points using the CAS of their TI-89 and calculus.

This is a site for students and teachers of all grade levels. If you are looking for math tables, general information about math topics, or you would like to ask a question, this is the site to visit.

Digital transformation is the cultural, organizational and operational change of an organization, industry or ecosystem through a smart integration of digital technologies, processes and competencies across all levels and functions in a...

Trigonometric relationships are applied to integrals that contain trig functions. The examples provided are great practice for applying the rules.

Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.

This Wikipedia article gives an overview of smartphones, an electronic handheld device that integrates the functionality of a mobile phone, personal digital assistant (PDA) or other information appliance. This is often achieved by adding...

This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...

Students are introduced to the respiratory system, the lungs and air. They learn about how the lungs and diaphragm work, how air pollution affects lungs and respiratory functions, some widespread respiratory problems, and how engineers...

Students learn about the process of reverse engineering and how this technique is used to improve upon technology. Students analyze push-toys and draw diagrams of the predicted mechanisms inside the toys. Then, they disassemble the toys...

Students look at the components of cells and their functions. The lesson focuses on the difference between prokaryotic and eukaryotic cells. Each part of the cell performs a specific function that is vital for the cell's survival....

Students use provided materials to design and build prototype artificial heart valves. Their functioning is demonstrated using water to simulate the flow of blood through the heart. Upon completion, teams demonstrate their fully...

Young scholars reflect on their experiences making silly putty (the previous hands-on activity in the unit), especially why changing the borax concentration alters the mechanical properties of silly putty and how this pertains to tissue...