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 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.
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
Functions
In this functions activity, 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
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 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
Worksheet 4: Evaluating Integrals
In this integral learning exercise, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page learning exercise contains...
Curated OER
Properties of the Definite Integral
In this definite integral worksheet, students explore the relationship between integrals and examine the properties of the definite integral. This two-page worksheet contains six problems.
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
For 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
Numerical Methods of Integration
Learners 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...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Integrals
Hotmath provides 24 practice problems dealing with integrals. Each of the practice problems include a step-by-step guide for finding or evaluating the integral.
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: 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...
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.
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...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc
Students learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Calculo Integral
In Spanish. Use this unit to learn, use and interpret the concept of definite and indefinite integral.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: La Integral Definida Y La Function Area
In Spanish. This interactive unit visually presents the concept of the definite integral and its properties.
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.
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.