How To Find The Reduction Formula
The reduction formula can be derived using any of the common methods of integration, like integration by substitution, integration by parts, integration by trigonometric substitution, integration by partial fractions, etc. The main idea is to express an integral involving an integer parameter (e.g. power) of a function, represented by In, in terms of an integral that involves a lower value of the parameter (lower power) of that function, for example In-1 or In-2. This makes reduction formulae a type of recurrence relation. In other words, the reduction formula expresses the integral
in terms of
where
Read more about this topic: Integration By Reduction Formulae
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