antiderivative
[/ˌæntiːdɪˈrɪvətɪv/]
nounpl: antiderivatives
antiderivada
1. A function whose derivative is a given function; the inverse operation of differentiation in calculus
The antiderivative of 2x is x² plus a constant of integration.
A antiderivada de 2x é x² mais uma constante de integração.
2. Any function F such that F'(x) = f(x) for a given function f(x)
Finding the antiderivative is essential for solving indefinite integrals.
Encontrar a antiderivada é essencial para resolver integrais indefinidas.
This is a fundamental concept in calculus taught in both Brazilian and American mathematics curricula at the university level. The term is technical and formal, used primarily in academic and educational contexts. In Brazil, students learn this concept as part of the standard calculus curriculum (Cálculo I), alongside derivatives and integrals. The concept is universal across mathematical communities in both Portuguese and English-speaking countries.
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