Category:Primitives which Differ by Constant

This category contains pages concerning Primitives which Differ by Constant:

Let $F$ be a primitive for a real function $f$ on the closed interval $\closedint a b$.

Let $G$ be a real function defined on $\closedint a b$.

Then $G$ is a primitive for $f$ on $\closedint a b$ if and only if:

$\exists c \in \R: \forall x \in \closedint a b: \map G x = \map F x + c$

That is, if and only if $F$ and $G$ differ by a constant on the whole interval.