Mathematics Archives
Math Archives: Trigonometric Substitution
This resource has many examples of integration using trigonometric substitution that the student can work on and then check their answers. Includes hints.
Wolfram Research
Wolfram Alpha: The Integrator
Place any equation into the white box, click on compute, and you will receive the correct answer below. You may also click on choose a random example.
ClassFlow
Class Flow: Integration by Substitution and Pattern Recognition
[Free Registration/Login Required] Two different techniques for integrating composite functions, pattern recognition and change of variables, are discussed using a process called u-substitution. This pattern recognition uses both of the...
Interactive Mathematics
Interactive Mathematics: The General Power Rule
Using the power rule, integration is applied to trigonometric and logarithmic functions. Several examples demonstrate the process with detailed solutions.
Interactive Mathematics
Interactive Mathematics: Inverse Trigonometric Form
Inverse trigonometric functions are applied to integrals in these examples. Test your ability to work with integrals.
Interactive Mathematics
Interactive Mathematics: Integration by Parts
Integration is made easier by separating functions into parts. See the process in these examples, then try a few on your own.
Interactive Mathematics
Interactive Mathematics: Exponential Form for Integrals
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.
Interactive Mathematics
Interactive Mathematics: Area Under a Curve
Using integration, this tutorial demonstrates how it is possible to find the area under a curve. Several examples are provided to allow for extra practice.
Interactive Mathematics
Interactive Mathematics: Areas by Integration
This tutorial is a more in-depth look at using integrals to determine the area under a curve. Several cases are discussed, including areas of curves that occur below the x-axis and integration using vertical sums.
Interactive Mathematics
Interactive Mathematics: Area Between 2 Curves
Using integration, the area between two curves can be determined. This tutorial illustrates exactly how that can be done through several detailed examples.
Interactive Mathematics
Interactive Mathematics: Basic Trigonometric Form of Integrals
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.
Interactive Mathematics
Interactive Mathematics: Even Crash Test Dummies Use Calculus
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
Interactive Mathematics
Interactive Mathematics: Basic Logarithmic Form of Integration
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.
Other
Area Between Curves
Site explains using an example how to find the area between curves using a calculator.
Interactive Mathematics
Interactive Mathematics: Integration by Trig Substitution
Having trouble integrating those tough functions? Try using Trigonometric Substitution. This lesson demonstrates the process and allows for you to practice using the examples provided.
Interactive Mathematics
Interactive Mathematics: Average Value of a Function
Examples demonstrate how integrals are used to find the average value of a function. Check out the Head Injury Criterion link for an interesting application of average value.