Reduction Formulas for Integrals

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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)
(Benedictine University at Mesa)
Open content licensed under CC BY-NC-SA



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.

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