Indefinite Integral Teacher Resources

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AP Test Prep
College Board

2012 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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...
AP Test Prep
College Board

2011 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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...
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.
Instructional Video8:19
Krista King Math

Solving Integrals

For Students 11th - Higher Ed
Find out how to integrate when simple integration is not enough. Learners view examples of complex integrals that require a different approach to solve. The video presents three methods to solve integrals: U-substitution, integration by...
Instructional Video5:56
Krista King Math

Integrals - Calculus

For Students 11th - Higher Ed
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...
Instructional Video2:54
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Educator.com

Solving Integrals Using Substitution

For Students 11th - Higher Ed
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...
Instructional Video5:42
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Educator.com

Integration by Parts

For Students 11th - Higher Ed
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...
Instructional Video10:30
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Educator.com

Integration by Partial Fractions

For Students 11th - Higher Ed
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. 
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....
AP Test Prep17:14
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Flipped Math

Calculus AB/BC - Integrating Functions Using Long Division and Completing the Square

For Students 10th - 12th
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...
Instructional Video4:14
Krista King Math

U-Substitution

For Students 11th - Higher Ed
U need to substitute to make it easier to integrate. A short video shows learners how to use U-substitution to find the integral of a binomial raised to a power. In the examples, scholars do not have to determine the quantity to...
AP Test Prep
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Flipped Math

Calculus AB/BC - Unit 6 Review: Integration and Accumulation of Change

For Students 10th - 12th
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...
Instructional Video5:17
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Educator.com

Separation of Variables and Initial Value Problem

For Students 11th - Higher Ed
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...
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...
AP Test Prep
College Board

AP® Calculus: Special Focus - Infinite Series

For Teachers 10th - 12th
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...
Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
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...
Worksheet
Curated OER

Worksheet 3

For Students 11th - Higher Ed
In this math worksheet, students calculate the indefinite integrals. They also find the differential functions. Finally social diffusion is used to describe how information is passed through a sample population.
Instructional Video2:03
Brightstorm

Definition of Antiderivatives - Concept

For Teachers 11th - Higher Ed
Antiderivatives means being against doing homework on derivatives, right? The first installment of a 12-part video series on antiderivatives and differential equations takes viewers through the definition of an antiderivative....
Interactive
Curated OER

The Method of Integration by Parts

For Students 11th - 12th
In this calculus learning exercise, 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.
Worksheet
Curated OER

The Integration of Exponential Functions

For Students 11th - 12th
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
Worksheet
Curated OER

Integration Computations

For Students Higher Ed
In this college level Calculus worksheet, students evaluate indefinite and definite integrals. The two page worksheet contains ten problems. Answers are not provided. 
Worksheet
Curated OER

Integrating Special Functions

For Students 11th - Higher Ed
In this math learning exercise, students practice reading the examples of integrating special functions. The examples have the formulas included.
Activity
Interactive Mathematics

Interactive Mathematics: Antiderivative & Indefinite Integrals

For Students 9th - 10th
The process of finding indefinite integrals is demonstrated here with several interactive examples. Students can watch, step by step, as integral problems are solved. Additional examples allow for independent practice. This is a great...

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Indefinite Integral