Fonction |
Primitive |
Intervalle |
$f(x)=a$ |
$F(x)=ax$ |
$\R$ |
$f(x)=x$ |
$F(x)=\dfrac{x^2}{2}$ |
$\R$ |
$f(x)=x^n$ |
$F(x)=\dfrac{x^{n+1}}{n+1}$ |
$\R$ |
$f(x)=\dfrac{1}{x}$ |
$F(x)=ln(x)$ |
$]0;~+\infin[$ |
$f(x)=\dfrac{1}{x^n}$ |
$F(x)=-\dfrac{1}{(n-1)x^{n-1}}$ |
$\R \backslash \{0\}$ |
$f(x)=\dfrac{1}{\sqrt{x}}$ |
$F(x)=2\sqrt{x}$ |
$]0;~+\infin[$ |
$f(x)=sin(x)$ |
$F(x)=-cos(x)$ |
$\R$ |
$f(x)=cos(x)$ |
$F(x)=sin(x)$ |
$\R$ |
$f(x)=e^x$ |
$F(x)=e^x$ |
$\R$ |