Reduction Formula

Reduction Formula

A reduction formula expresses an integral containing a parameter or power in terms of a simpler integral of the same family:

$$I_n=A_nI_{n-1}+B_n$$

Terminology

- $$I_n$$ → Integral containing the nth power or parameter.

- $$A_n,B_n$$ → Expressions determined by the specific integral.

Usage

- Used to reduce higher powers to lower powers recursively.