College Board
2011 AP® Calculus AB Free-Response Questions Form B
Half are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...
College Board
2011 AP® Calculus BC Free-Response Questions Form B
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
College Board
2007 AP® Calculus BC Free-Response Questions Form B
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
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 - Applying Properties of Definite Integral
Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.
Flipped Math
Calculus AB/BC - Selecting Techniques for Antidifferentiation
Here's the antidote to ignorance on antiderivatives. Pupils try a set of problems that require finding the antiderivative. They choose from different techniques they already know to determine the indefinite integral or the definite...
Flipped Math
Calculus AB/BC - General Solutions Using Separation of Variables
Viewers to learn how to solve a differential equation written implicitly. Pupils find out that they must first separate the variables to take the integral of each side before solving for y to arrive at a general solution for the...
Curated OER
A.P. Calculus Integration Test
In this A.P. Calculus worksheet, learners complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields. Some of the problems are multiple choice, while others are...
Curated OER
Integrals and Integration
In this calculus worksheet, students evaluate definite integrals using numbers and radians. They take the derivative to solve their equations, using trigonometric identities. There are 4 questions.
Curated OER
Calculus Assignment #1: Integrals
In this calculus instructional activity, students evaluate given integrals. Problems contain exponents, square roots, and complex fractions. This two-page instructional activity contains 16 multi-step problems. Answers are provided on...
Curated OER
Definite Integrals
In this calculus worksheet, students calculate the definite integral given different functions. They evaluate the functions for given values. There are 20 questions.
Curated OER
Definite Integral
Learners investigate the intervals represented by a function in this calculus activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
Curated OER
Integrals
For this integrals worksheet, students solve and complete 22 various types of problems. First, they evaluate each of the listed integrals by using substitution. Then, students solve each of the given differential equations when given the...
Curated OER
Integrals
In this integrals learning exercise, students solve and complete 22 various types of problems. First, they evaluate each of the listed integrals on the sheet. Then, students solve each of the given differential equations by substituting...
Curated OER
Integrals
In this integrals worksheet, students solve and complete 20 various types of problems. First, they evaluate each of the listed integrals shown. Then, students find the area under the graph given and above the x-axis between two points....
Curated OER
Integrals
For this integrals worksheet, students solve and complete 22 different types of problems. First, they evaluate each of the listed integrals provided on the sheet. Then, students solve each of the differential equations. They also graph a...
Curated OER
The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
The Method of Integration by Parts
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.
Curated OER
The Method of Integration by Partial Fractions
For 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.
Curated OER
The Limit Definition of a Definite Integral
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.
Curated OER
Calculus Assignment #5: Integrals
In this calculus assignment worksheet, students evaluate given integrals. Problems contain square roots, complex fractions, and exponents. This two-page worksheet contains 14 problems. Answers are provided on page two of the worksheet.
Curated OER
Cookie Recipe: Integrals
In this calculus worksheet, learners solve integrals over a defined interval in order to gain the measurements for the provided cookie recipe. There are 10 ingredients.
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