College Board
2012 AP® Calculus AB Free-Response Questions
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
College Board
2011 AP® Calculus AB Free-Response Questions
So this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...
Flipped Math
Calculus AB/BC - Unit 6 Review: Integration and Accumulation of Change
Sometimes it's important to stop and take the time to review. Pupils look back at the second half of the unit and consider what they have learned about integration. They complete a instructional activity of review problems that assesses...
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 - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
Calculus classes definitely need to learn about indefinite integrals. Individuals watch an informative video to learn the antiderivative rules for exponential, logarithmic, trigonometric, and inverse trigonometric functions. To solidify...
College Board
AP® Calculus: Special Focus - Infinite Series
Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...
CK-12 Foundation
Properties of Definite Integrals
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....
CK-12 Foundation
Differential Equations Representing Growth and Decay: Rice Legend
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...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
Curated OER
Worksheet 34 - Antiderivatives
In this antiderivative worksheet, students compute antiderivatives, as well as definite and indefinite integrals. This one-page worksheet contains approximately six multi-step problems.
Curated OER
The Hyperbolic Sine and Cosine
In this sine and cosine learning exercise, students find derivatives and integrals of 6 functions. Students find derivatives, indefinite integrals and the area between two curves.
Curated OER
Math 250 - Integration Review Problems
In this integrals worksheet, students find the indefinite integrals of eleven multi-step problems. Students find the integrals of functions with and without intervals.
Curated OER
Math 155-Worksheet 10
In this college calculus worksheet, students evaluate the given indefinite integrals. The two page worksheet contains eight problems. Answers are not included.
Curated OER
Math 155 Review Worksheet 10
In this college level Calculus worksheet, students evaluate indefinite and definite integrals. The two page worksheet contains eight problems. Answers are not included.
Curated OER
ESP Quiz 5
Test your students with this integrals quiz, which prompts students to evaluate five indefinite integrals. The final problem directs students to solve two ways: first, they evaluate using u-substitution, then, integration by parts.
Curated OER
ESP Quiz 4
Students solve four short answer (computation) problems by evaluating indefinite integrals. This worksheet is intended to be used as a quiz, but could be used a review.
Curated OER
ESP Quiz 6
In this indefinite integrals worksheet, students compute the answers to five computation problems. The worksheet is intended to be used as a quiz.
Curated OER
Discussion Sheet 2: Indefinite Integrals
For this indefinite integral worksheet, students compute the volume of a solid located between planes. They evaluate the average value of functions over a given interval and sketch functions. Students find the sum of numbers in a...