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...
Shodor Education Foundation
Derivate
Derive tangent lines through derivatives. Scholars use an app to graph functions and investigate derivatives and tangent lines. The interactive automatically graphs a tangent line at a specified point and can also produce tables of values.
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
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
A.P. Calculus Test Covering Limits, Derivatives, and Integrals
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals. Students should have covered trig limits prior to this worksheet.
Curated OER
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a instructional activity that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives,...
Curated OER
Computing Indefinite Integrals
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
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
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
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
Integrating Functions
In this math worksheet, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Curated OER
Passive Integrator and Differentiator Circuits
In this circuits activity, students answer 25 questions about passive integrator circuits and passive differentiator circuits given schematics showing voltage. Students use calculus to solve the problems.
Curated OER
Basic Integration and Substitution
In this calculus worksheet, students perform basic integration and substitution. They solve rational expressions through the derivative. There are 26 questions.
Curated OER
The Hyperbolic Sine and Cosine
In this sine and cosine worksheet, students find derivatives and integrals of 6 functions. Students find derivatives, indefinite integrals and the area between two curves.
Curated OER
Integration By Substitution
Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Texas Instruments
Integration By Parts
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
College Board
2004 AP® Calculus BC Free-Response Questions Form B
Take another look at the exam. A set of questions is a different form for the 2004 AP® Calculus BC free-response question section. The questions are evenly split into calculator and non-calculator sections. Pupils use their knowledge of...
Curated OER
Integrating Gandhian Principles of Communal Unity in Mathematics
Fourth through sixth graders incorporate Gandhian principles into Math curriculum. They explore Gandhi's teachings on communal unity and economic equality. This has quite a bit of information about Gandhi and his observations and...
Curated OER
Integrating Special Functions
In this math learning exercise, students practice reading the examples of integrating special functions. The examples have the formulas included.
Curated OER
Complex Analysis: Cauchy's Integral Formula and Integral Examples
In this integral formula worksheet, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.