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
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
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...
Balanced Assessment
Catenary
Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close their...
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...
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
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 One - Definite Integral
In this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
Curated OER
Worksheet 30 - Definite Integrals
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
Curated OER
Worksheet 29 - Integrals
In this integral worksheet, students evaluate definite integrals and sketch regions of integration. This one-page worksheet contains 10 multi-step problems.
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
Get Smart!: Addition Tricks with Integrals
In this definite integrals activity, students find the definite integrals of 16 functions. Students find definite integrals for a given interval in order to find the name of Maxwell Smart's partner.
Curated OER
Sudoku Puzzle: Definite Integrals
In this Sudoku worksheet, students first solve 36 definite integral problems and then place them into the puzzle. The remainder of the Sudoku is left to solve.
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...
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
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
Nine Definite Integrals and Fundamental Theorem Of Calculus Problems
In this definite integral worksheet, student find the value of five definite integrals. Student then explain why a definite integral inequality holds true. Finally, students are given the graph of a functions and asked to determine...
Curated OER
Challenge Sheet 3: Average Value of a Function
In this average value worksheet, learners determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
Curated OER
Limit Definition of the Definite Integral
In this integral learning exercise, students compute the Riemann sum that is defined by the given equation. They use a step by step process for computing an integral.
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...
Curated OER
Properties of the Definite Integral
In this definite integral instructional activity, students explore the relationship between integrals and examine the properties of the definite integral. This two-page instructional activity contains six problems.
Curated OER
Connecting Riemann Sums to the Definite Integrals
In this math worksheet, students examine the relationships between Riemann sums and definite integrals. They define the Riemann sums and find area using them.
Curated OER
Applications of Definite Integrals
In this definite integral activity, students explore different types of integrals and determine the length of a curve. This one-page activity contains eight multi-step problems.
Curated OER
Properties of the Definite Integrals
In this math worksheet, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.