Curated OER
Worksheet - Fall 1995
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.
Curated OER
Worksheet 28 - Fall 1995
In this math worksheet, students define a definite integral. Then they draw a picture or sequence of pictures with progressively finer partitions..
Curated OER
Calculus Practice Test: Velocity, Functions
In this calculus worksheet, 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. This...
Curated OER
Integral Worksheet
In this college level calculus worksheet, students evaluate the given definite integrals. The three page worksheet contains eight problems. Solutions are not provided.
Curated OER
Evaluating Definite Integrals With Substitution
Students 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 use...
Curated OER
Numerical Methods of Integration
Students review Riemann Sums with rectangles, used to approximate the area under a curve. They listen as the teacher introduces the Trapezoidal Rule to approximate the area under a curve. Students use Simpson's Rule to find the area...
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Metal: Integration [Pdf]
The resource is a lesson guide that teaches the mathematical concept of integration. The guide brings alive the topic of integration and its applications. Topics include definite integrals, integration with exponential functions, and...
Wolfram Research
Wolfram Math World: Fundamental Theorem of Calculus
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
Texas Instruments
Texas Instruments: Integration Advanced Placement
In this activity, students learn and explore two types of integrals: Indefinite and Definite.
Texas Instruments
Texas Instruments: Shortest Path
Students graph three functions on the same domain that go through the same three points. They then find the shortest of each of the paths through these points using the CAS of their TI-89 and calculus.
Texas Instruments
Texas Instruments: The Region Between Two Curves
This activity is an application of integration. Students use calculus to find the area of a region and the volumes of solids generated by the region. They use the CAS of their TI-89 and calculus to determine the exact answers.
Texas Instruments
Texas Instruments: Integration
This is a set of problems involving the concepts of integrals and antiderivatives. The problems are similar to those encountered during the third quarter of a typical calculus course.
Texas Instruments
Texas Instruments: Area Between Curves
This activity will illustrate the idea of using the definite integral to represent the area bounded by two curves.
Texas Instruments
Texas Instruments: Solving Differential Equations Using Euler
This activity involves using the graphing calculator to find an approximate solution to a differential equation with Euler's Method, find the actual solution to the differential equation, and compare the two solutions.
Texas Instruments
Texas Instruments: Quartic Regions
This activity is an application of derivatives and of definite integrals. It introduces students to an interesting property of Quartics which students can verify using the CAS of their TI-89.
Texas Instruments
Texas Instruments: Area Under Curve
This activity will illustrate the idea of using the definite integral to represent the area bounded by a function and the x-axis.
Texas Instruments
Texas Instruments: Accumulation Functions
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
Texas Instruments
Texas Instruments: Cubic Regions
This application of derivatives and definite integrals introduces students to an interesting property of cubics and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon...
Texas Instruments
Texas Instruments: Sands of Time
In this activity, students can use a graphing calculator to find a regression equation and then interpolate the data from the equation using integration. They will explore the length of day during the winter and summer solstice at...
Texas Instruments
Texas Instruments: Discovering Fundamental Fact About Integration
This activity sets up a spreadsheet that lets students enter functions in the first column, and then calculates the integral in the second column with boundaries determined by the student. It also shows the symbolic integral with...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Definite Integral: Numerical and Graphical Approaches
Students learn how to evaluate the definite integral using numerical and graphical approaches. Topics examined are Riemann sums and the definite integral. The tutorial explores the calculus concepts through notes and examples. Review...
Other
Xetc: Integral Definida
The concept of definite Integral is presented in an interactive manner. The explanation is detailed and step by step. At the end you will find exercises whose solutions are available.
Paul Dawkins
Paul's Online Notes: Calculus I: Integrals
The tutorial investigates integrals. Topics discussed are indefinite integrals, area problems, definite integrals, and the substitution rule. Class notes, definitions, and examples with detailed solutions are included. The class notes...
Interactive Mathematics
Interactive Mathematics: Integration
This lesson puts integration to work. Lessons include integral, derivatives, antiderivatives, and indefinite integrals. The Trapezoidal and Simpson's Rules are highlighted. The examples are enhanced using Live, Math and Scientific...