pelkistysyhtälöitä
Pelkistysyhtälöitä, known in English as reduction equations or simply reduction formulas, are mathematical expressions used in calculus to simplify the process of integrating certain types of functions. These equations express the integral of a power of a function in terms of the integral of a lower power of the same function. This allows complex integrals to be broken down into a series of simpler integrals, eventually leading to an easily evaluable form.
The concept is particularly useful for integrating powers of trigonometric functions, such as sin(x) and cos(x),
The derivation of these formulas typically involves integration by parts or other standard integration techniques. They