Reduction Formulas for Integrals

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The use of reduction formulas is one of the standard techniques of integration taught in a first-year calculus course. This Demonstration shows how substitution, integration by parts, and algebraic manipulation can be used to derive a variety of reduction formulas. Selecting the "illustrate with fixed " box lets you see how the reduction formulas are used for small values of and shows more detail for the algebraic manipulations needed for some of the examples.

Contributed by: Marc Brodie (January 2012)
(Wheeling Jesuit University)
Open content licensed under CC BY-NC-SA


Snapshots


Details

When "illustrate with fixed " is selected and the integrand is or , the value is not available. In those two cases, no further reduction is needed.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send