Refine Your Results

Content Curators

Grades

Subjects

Resource Types

Standards

124 resources with the concept definite integrals

10:02
Lesson Planet

Probability Density Functions

For Students 7th - 11th
Beat the weatherman at his own game with this probability video! Sal shows students how to use probability density functions to predict random occurrences (such as rain). Probability problems - and inclement weather - are no match for...
Lesson Planet

Work and Force: Lifting a Bucket

For Students 11th - Higher Ed
How much work does it take to lift a bucket? An interactive presents a problem of lifting a bucket from the ground to the top of a building. Using their knowledge about work and integrals, pupils calculate the amount of work required to...
Lesson Planet

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Lesson Planet

Trapezoidal and Midpoint Approximations: Area of a Skirt

For Students 11th - Higher Ed
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Lesson Planet

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....
Lesson Planet

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
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....
Lesson Planet

Method of Cylindrical Shells

For Students 11th - Higher Ed
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...
20:45
Lesson Planet

Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8

For Students 11th - Higher Ed
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance helps...
3:23
Lesson Planet

Volumes: Solids That are Not Solid of Revolution

For Students 11th - Higher Ed
Viewers learn how to calculate the volume when the cross section is not a circle by using the same principle as if it was a circle. The video goes through an example of finding the volume of a figure where the cross sections are squares...
2:54
Lesson Planet

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 makes...
7:54
Lesson Planet

Properties of the Definite Integral

For Students 11th - Higher Ed
What are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is simple...
4:26
Lesson Planet

Average Value of a Function

For Students 11th - Higher Ed
Viewers learn how to find the average of a variable density with a video made for AP Calculus. The presenter applies the formula to find the average value of a function with an example that provides a density function for a rod. The...
5:59
Lesson Planet

Volumes by Cylindrical Shells

For Students 11th - Higher Ed
Shells sometimes work better than washers. The AP Calculus video presents an example of finding the volume of a rotational solid by using the shell method. The method uses the integral of the lateral surface area of a cylinder as opposed...
Lesson Planet

Math Handbook: Calculus

For Students 10th - 12th
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...
Lesson Planet

InteGreat

For Teachers 9th - Higher Ed Standards
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...
Lesson Planet

The Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
Practice in the mechanics of using substitution in integration is often hard to come by in enough quantity for learners to really wrap their heads around the nuances of the technique. This worksheet set with solution key and worked...
Lesson Planet

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 integral calculus,...
Lesson Planet

Worksheet One - Definite Integral

For Teachers Higher Ed
For 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.
Lesson Planet

Worksheet 30 - Definite Integrals

For Teachers Higher Ed
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.
Lesson Planet

Worksheet 29 - Integrals

For Teachers Higher Ed
In this integral worksheet, students evaluate definite integrals and sketch regions of integration. This one-page worksheet contains 10 multi-step problems.
Lesson Planet

Definite Integral

For Teachers 9th - 12th Standards
Learners investigate the intervals represented by a function in this calculus lesson. 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.
Lesson Planet

Get Smart!: Addition Tricks with Integrals

For Students 11th - 12th
In this definite integrals worksheet, 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.
Lesson Planet

Sudoku Puzzle: Definite Integrals

For Students 10th - Higher Ed
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.
Lesson Planet

Shortest Path

For Teachers 9th - 12th
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...