In this activity students investigate various applications of integration. They learn and explore to use analytic method as well as numerical, and graphical methods for solving various mathematical problems.

The resource examines the constant of integration. Class notes, methods, and examples with detailed solutions are included. The notes are available in pdf format.

Formulas are presented for several types of integrals that contain trigonometric functions. Examples are provided to allow students to practice applying the formulas. Solutions are provided with step-by-step details.

This activity is designed to help students deal with the method of integration by parts. In this method, students usually have trouble figuring out what they should set u equal to.

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...

The derivative of logarithms is used to allow the power formula for integrals to be used in special cases. Several examples are provided to show how this is accomplished.

This online tutorial shows K-12 teachers how to harness the power of the World Wide Web for classroom use, and in particular for interaction, collaboration, distance education, cultural understanding and cooperative research -- with...

This lesson teaches how to dissect complicated fractions into the sum of simple fractions.

This lesson offers step-by-step instruction on how to integrate functions containing rational expressions using partial fractions. Several situations are presented and rules are provided for working with the integrals. Several examples...

Integration is made easier by separating functions into parts. See the process in these examples, then try a few on your own.

The integrals of exponential functions are found in these examples and exercises. Students have and opportunity to solve the problems prior to seeing the solutions.

Hotmath provides 23 practice problems dealing with advanced integration techniques. Each of the practice problems include a step-by-step guide for solving the integral.

Students explore the applications of quantum dots by researching a journal article and answering framing questions used in a classwide discussion. This "Harkness-method" discussion helps students become critical readers of scientific...

Students apply the design process to the problem of hiding a message in a digital image using steganographic methods, a PictureEdit Java class, and API (provided as an attachment). They identify the problems and limitations associated...

Using their knowledge of the phases of matter, the scientific method, and polymers, student teams work as if they are chemical engineers to optimize the formula for slime. Hired by the fictional company, Slime Productions, students are...

The activity investigates appropriate integrals. Some topics examined are areas between curves, the disk method, the washer method, and the shell method. All documents were created from scanned original files and are available as PDF...

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...

Earth Science teachers will combine field observations with the information given in the classroom to interpret the geologic history of Canyon de Chelly, Arizona.

This lesson incorporates inexpensive materials such as carton boxes, toilet paper roll tube, strings and toothpicks. It engages students to conduct pattern observation, prediction, testing and ends up with a model construction. It also...

Building upon their understanding of forces and Newton's laws of motion, learners learn about the force of friction, specifically with respect to cars. They explore the friction between tires and the road to learn how it affects the...

Students are introduced to the latest imaging methods used to visualize molecular structures and the method of electrophoresis that is used to identify and compare genetic code (DNA). Students should already have basic knowledge of...

This lesson introduces learners to the important concept of density. The focus is on the more easily understood densities of solids, but students can also explore the densities of liquids and gases. Learners devise methods to determine...

Students develop an understanding of the effects of invisible air pollutants with a rubber band and hanger air test and a bean plant experiment. They also learn about methods of reducing invisible air pollutants.

Engineers design methods of removing particulate matter from industrial sources to minimize negative effects of air pollution. In this activity, students will undertake a similar engineering challenge as they design and build a filter to...