Curated OER
Limit Definition of the Definite Integral
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.
Curated OER
Lab 3: Length as an Application of Integration
In this integration worksheet, students graph a function that is a quarter circle curve. They calculate lengths of curves by approximation using the distance formula. Students use a computer program to calculate the approximation of the...
Curated OER
Simpson's Rule
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
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.
Curated OER
Worksheet 8 - Spring 1996
In this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
Wolfram Research
Wolfram Mathworld: Riemann Sum
This site discusses a Riemann Sum and how it relates to Integral Calculus. Includes definitions, graphs, and a customizable database for figuring a Riemann Sum.
Harvey Mudd College
Harvey Mudd College: Fundamental Theorem of Calculus
This site explains the fundamental theorem of calculus with examples.
Wolfram Research
Wolfram Mathworld: Riemann Integral
This site explains the Riemann Integral and its relation to the Riemann Sum. This site addresses double and triple Riemann Integral scenarios. Includes formulas, definitions, and links to related sites.
Texas Instruments
Texas Instruments: Programming to Find Area Under a Curve
Students will learn how to program the TI 83/84 Plus graphing calculator to approximate the area under a curve using Left,Right,Midpoint Riemann Sums, and Trapezoid Rule, and Simpson's Rule.
Texas Instruments
Texas Instruments: Riemann Sums
Students use their TI-89 to investigate Riemann sums and learn how to construct them. They take the limit of two Riemann sums and find out that the limits exist and are the same. They compare this limit to the definite integral of the...
Other
Dans Math: Lessons: Calculus (Part 2)
College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.
Texas Instruments
Texas Instruments: Ti 89 Riemann Sum Activities for Calculus
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...
Other
Jfm: The Definition of Riemann Definite Integral
This site introduces Riemann definite integral on the closed interval of real. If you are interested in exploring definite integrals, this site may interest you.
Texas Instruments
Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
Texas Instruments
Texas Instruments: Approximating Integrals With Riemann Sums
In this activity, students calculate Riemann sums. They demonstrate when the Riemann sums will over-approximate a definite integral. They also observe the convergence of Riemann sums as the number of subintervals get larger.
Analyze Math
Analyze Math: Definition of Definite Integrals Riemann Sums
The applet examines the definition of the definite integral.
University of Texas at Austin
Net Math: Upper and Lower Riemann Sums
Word intensive and detailed site explaining the Riemann Sums.
Math Open Reference
Math Open Reference: Riemann Sums
A complete reference guide to Riemann Sums. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Mathematics Archives
Math Archives: Summations
University of Tennessee provides this tutorial site explaining summations and how to evaluate them on a TI(85-86) calculator.