TeachEngineering
Teach Engineering: Caught in the Net
Bycatch can be defined as the act of unintentionally catching certain living creatures using fishing gear. A bycatched species is distinguished from a target species (the animal the gear is intended to catch) because it is not sold or...
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: 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.
CK-12 Foundation
Ck 12: Analysis: Area Under the Curve
[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.
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.
Other
Multimedia Schools: Moving Every Child Ahead the Big6
This article looks at applying the Big6 process to issues raised by No Child Left Behind legislation. The goal of the Big6 process is to improve performance by improving thinking through application of information technology skills. This...
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.
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.
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: 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: 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: 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: 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.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Calculus Grapher
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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.
Paul Dawkins
Paul's Online Notes: Calculus Iii: Line Integrals
The resource examines line integrals and interpretations of the line integral. Topics investigated are the fundamental theorem for line integrals, Green?s theorem, and conservative vector fields. Class notes, definitions, and examples...
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.
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.
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...
Texas Instruments
Texas Instruments: Area Under the Curve
In this activity, students explore the relationship between the area under the graph of a function and the integral of the function.
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.
TeachEngineering
Teach Engineering: Discovering Phi: The Golden Ratio
Students discover the mathematical constant phi, the golden ratio, through hands-on activities. They measure dimensions of "natural objects"--a star, a nautilus shell and human hand bones--and calculate ratios of the measured values,...