Curated OER
Evaluating Definite Integral Using Anti-Derivatives
In this integral worksheet, students compute the exact value of given functions. They specify the definite integral and antiderivatives. This two page worksheet contains five multi-step problems.
Curated OER
Shortest Path
High schoolers explore an application of definite integrals. They graph three functions that go through the same three points. Learners use the symbolic capacity of their calculators to find the shortest path through the three points and...
CK-12 Foundation
Method of Cylindrical Shells
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...
College Board
Approximation
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
Curated OER
Worksheet 38-Spring 1996
In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Curated OER
Evaluating Definite Integrals With Substitution
Young scholars investigate how to evaluate the definite integral with using substitution. They evaluate expressions when using the substitution method to find the definite integral. The lesson includes example problems for the teacher to...
Curated OER
Math 155 Review Worksheet 10
For this college level Calculus worksheet, students evaluate indefinite and definite integrals. The two page worksheet contains eight problems. Answers are not included.
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
Functions
For this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...
Curated OER
Evaluating Definite Integrals Using Accumulation
In this integral worksheet, students sketch functions and use their graph to evaluate functions. This two-page worksheet contains four multi-step problems.
Curated OER
Worksheet 4: Evaluating Integrals
In this integral worksheet, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page worksheet contains approximately...
Portland
State
University
Historical Reflections on the Fundamental Theorem Of (Integral) Calculus
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
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
Setting Up Definite Integrals Using Local Approximations First
For this math worksheet, students practice solving the problems concerning the use of integrals. They focus upon using local approximations first for the word problems.
Curated OER
Evaluating Definite Integral Using Riemann Sums
In this integral worksheet, students use the Riemann Sum to estimate the value of a function. This two-page worksheet contains two problems.
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,...
Curated OER
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...
Curated OER
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus activity, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
Curated OER
The Definite integral and Area Under a Curve
Students define integrals and explore how they relate to the areas under a curve. In this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area under...
Curated OER
Evaluating Definite Integrals with Substitution
Students evaluate and define limits using substitution. For this calculus lesson, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
Curated OER
Accumulation Functions and Definite Integrals
In this accumulation functions learning exercise, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to...
Curated OER
Estimating he Value of a Definite Integral
In this definite integral worksheet, students solve three integrals for a defined value. They use the midpoint, trapezoidal, and Simpson's rules each one time to estimate the value of a definite integral.