reduction formula
[/rɪˈdʌkʃən ˈfɔːrmjələ/]
nounpl: reduction formulas / reduction formulae
fórmula de redução
1. A mathematical formula that expresses an integral or other mathematical expression in terms of a simpler or lower-order version of itself, allowing recursive calculation
The reduction formula for ∫xⁿeˣdx allows us to compute higher-order integrals by repeatedly applying the same formula.
A fórmula de redução para ∫xⁿeˣdx nos permite calcular integrais de ordem superior aplicando repetidamente a mesma fórmula.
2. In calculus, a relationship that reduces a complex integral to one of lower degree or order
Using the reduction formula, we simplified the trigonometric integral step by step.
Usando a fórmula de redução, simplificamos a integral trigonométrica passo a passo.
This is a specialized mathematical term used primarily in academic and professional contexts, particularly in calculus and advanced mathematics courses. The term is identical in both Brazilian Portuguese and European Portuguese, reflecting the universal nature of mathematical terminology across Portuguese-speaking regions.
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