primitives.py

Created on January 20, 2022

445 Bytes

from maths import *

On démontre que 2 primitives d'une 
même fonction continue sur un 
intervalle  I diffère d'une constante 

Soit f une fc continue sur un 
intervalle I qui admet F comme 
primitive 

Dire que G est une autre primitive
de f signifie que G'=F'=f

ainsi G'-F'=0 <=> (G-F)'=0
              <=> G-F=k 
par propriété de dérivation kCR

Ainsi G et D 2 primitives sur
I de f diffèrent bien d'une 
constante

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