Cuemath
Cuemath: Integral
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
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...
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: Indefinite Integral
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Khan Academy
Khan Academy: Area Between Curves
By integrating the difference of two functions, you can find the area between them. Created by Sal Khan.
Other
Karl's Calculus Tutor: Integrals
This site provides a detailed overview of intregals, including a focus on the fundamental theorem of calculus to definite and indefinite integrals. Content includes numerous examples and exercises.
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: 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...
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.
Live Wire Media
Good Character: Integrity
Find a definition of "Integrity," along with discussion questions, activity ideas, and writing prompts. Learn whether you are a "Person of integrity," through a self-evaluation quiz and learn ways to promote integrity among your friends,...
BBC
Bbc: Integration
Several topics of integration are presented, including definite and indefinite integrals, trig integration, and area under curves. Examples and a practice test are included.
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.
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Integrals
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Calculus Ii: Applications of Integrals
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Analyze Math
Analyze Math: Integral Form of the Definition of Natural Logarithm Ln(x)
The applet examines the definition of the natural logarithm ln(x).
Analyze Math
Analyze Math: Find Area Under Curve
Scholars examine how to find the area under and between curves using definite integrals. The tutorial consists of practice exercises and examples with solutions.
Math Medics
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
Math Open Reference
Math Open Reference: Improper Integrals
Learn about improper integrals with this handy reference guide. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Wolfram Research
Wolfram Math World: Improper Integrals
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
Khan Academy
Khan Academy: Arc Length
Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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: Fundamental Theorem of Calculus
In this activity, students explore the connection between an accumulation function, one defined by a definite integral, and the integrand. They also discover that the derivative of the accumulator is the integrand.
Texas Instruments
Texas Instruments: Exploring the Fundamental Theorem of Calculus
In this Derive activity, students investigate the Fundamental Theorem of Calculus and explore examples of Riemann Sums for approximating the Definite Integral: the Midpoint Sum, the Left Hand Endpoint Sum, the Right Hand Endpoint Sum,...
Paul Dawkins
Paul's Online Notes: Average Function Value
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
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