Definite Integral Teacher Resources

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.

Finding area using rectangles—isn't that a little too simplistic for a calculus course? Viewers learn how to approximate area under a curve using rectangles in the first installment of a seven-part video series on the definite integral....

In 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...

In this calculus worksheet, learners calculate the definite integral given different functions. They evaluate the functions for given values. There are 20 questions.

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...

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...

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...

Find the volume of a rotational solid by integrating the area of a slice. The AP Calculus resource works through an example of finding the volume of a solid created by rotating a function about the x-axis. The presentation breaks the...

For this integral worksheet, students compute the Riemann sum that is defined by the given equation. They use a step by step process for computing an integral.

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...

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...

In this math learning exercise, students define a definite integral. Then they draw a picture or sequence of pictures with progressively finer partitions..

In this integral worksheet, learners estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.

In this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...

In this math worksheet, students write down the definition of a definite integral. Then take turns explaining the different parts to the members of a group.

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...

In this college level Calculus worksheet, students evaluate indefinite and definite integrals.  The two page worksheet contains eight problems.  Answers are not included. 

In this average value worksheet, students 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...

In this calculus learning exercise, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. ...

In this definite integral worksheet, students evaluate the properties of definite integrals. Students graph their answers. This two-page worksheet contains two multi-step problems.

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.

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.

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...

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...