Interactive
CK-12 Foundation

Properties of Definite Integrals

For Students 11th - Higher Ed
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
Interactive
Curated OER

Divergence and Surface Integrals

For Students 11th - Higher Ed
In this divergence and surface integrals worksheet, students explore given vector fields and calculate the divergence and surface integrals of given functions. This one-page worksheet contains 5 multi-step problems.
Interactive
Curated OER

Guess my Number with Ten Integrals

For Students 12th - Higher Ed
In this integral activity, students solve ten integrals to discover the clues helping them identify the secret numbers.  Students should have knowledge of trigonometric integrals in-order to complete this activity.  Solutions...
Interactive
Curated OER

The Method of Integration by Parts

For Students 11th - 12th
In this calculus worksheet, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
Interactive
Curated OER

Integration of Trigonometric Integrals

For Students 9th - 10th
In this trigonometry worksheet, students use integration to solve for the six different trigonometric identities. They use indefinite integrals to solve problems. There are 27 questions with an answer key.
Interactive
Curated OER

The Method of Integration by Partial Fractions

For Students 9th - 10th
In this calculus worksheet, students solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.
Interactive
Curated OER

The Limit Definition of a Definite Integral

For Students 11th - 12th
In this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
Interactive
Shodor Education Foundation

InteGreat!

For Students 11th - Higher Ed
Take a great look at integration! Young scholars use an interactive to learn how to integrate a function. Learners input a function and view the integral as well as see a graphical representation.
Interactive
DocsTeach

Integration of the US Armed Forces

For Teachers 6th - 8th
Uncle Sam wants you to integrate the military! The activity uses images and documents to help scholars understand the integration of African Americans into the mainstream military. Academics analyze a series of military photos and...
Interactive
Curated OER

Passive Integrator and Differentiator Circuits

For Students 10th - Higher Ed
In this circuits worksheet, students answer 25 questions about passive integrator circuits and passive differentiator circuits given schematics showing voltage. Students use calculus to solve the problems.
Interactive
Curated OER

Categorize Twelve Integrals

For Students 11th - Higher Ed
In this integral worksheet, students categorize the given twelve integrals to determine which of the four basic integral functions provided each follows.
Interactive
CK-12 Foundation

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Interactive
Curated OER

How to Integrate Quotations

For Students 8th - 11th Standards
Quotations add validity to an argument or an analysis, but how do you integrate them into your writing? Several examples are provided, and your emerging writers will surely benefit from looking at different ways to add quotations....
Interactive
CK-12 Foundation

Work and Force: Lifting a Bucket

For Students 11th - Higher Ed
How much work does it take to lift a bucket? An interactive presents a problem of lifting a bucket from the ground to the top of a building. Using their knowledge about work and integrals, pupils calculate the amount of work required to...
Interactive
CK-12 Foundation

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Interactive
CK-12 Foundation

Method of Cylindrical Shells

For Students 11th - Higher Ed
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
Interactive
Curated OER

English Exercises: Test for Primary2/Grade 2

For Students Pre-K - 6th
In this integrated English interactive worksheet, students complete 10 sentences using words from a word bank at the top of the page. They insert opposite words as they compare two students, and complete a friendly letter by inserting...
Interactive
US National Archives

WWII: Asia 1939-45 – Burma

For Students 9th - 12th Standards
Because World War II encompassed most of the globe in one way or another, many pivotal battles and events are not as visible in the history books, leaving veterans of these conflicts feeling overlooked by more famous skirmishes. High...
Interactive
Howard Hughes Medical Institute

Central Dogma and Genetic Medicine

For Students 9th - 12th Standards
Scientists work every day to find solutions to genetic diseases. Scholars learn about the process of gene sequencing, mutations, and the results. They explore genetic diseases and therapies to intervene and help and, through case...
Interactive
Curated OER

The Method of U-Substitution

For Students 9th - 10th
In this calculus worksheet, learners solve problems using U-Substitution. They find antiderivatives  using indefinite integrals. There are 18 questions with an answer key.
Interactive
Curated OER

Word Problems

For Students 10th - 11th
In this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
Interactive
CK-12 Foundation

Differential Equations Representing Growth and Decay: Rice Legend

For Students 11th - Higher Ed
The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...
Interactive
CK-12 Foundation

Trapezoidal and Midpoint Approximations: Area of a Skirt

For Students 11th - Higher Ed
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Interactive
Curated OER

Inductance

For Students 10th - Higher Ed
In this inductance learning exercise, students answer 20 questions about magnetic fields as they relate to inductors, inertia, transistors, and the flow of current through circuits.

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