\begin{definition}[Definition:Definite Integral/Limits of Integration]
Let $\closedint a b$ be a closed interval of the set $\R$ of real numbers.
Let $f: \R \to \R$ be a real function.
Let $\map f x$ be bounded on $\closedint a b$.
Let the definite integral of $f$ {{WRT|Integration}} $x$ from $a$ to $b$ be:
:$\ds \int_a^b \map f x \rd x$
In the expression $\ds \int_a^b \map f x \rd x$, the values $a$ and $b$ are called the '''limits of integration'''.
If there is no danger of confusing the concept with limit of a function or of a sequence, just '''limits'''.
Thus $\ds \int_a^b \map f x \rd x$ can be voiced:
: '''The integral of (the function) $f$ of $x$ {{WRT|Integration}} $x$ (evaluated) between the limits (of integration) $a$ and $b$.'''
More compactly (and usually), it is voiced:
: '''The integral of $f$ of $x$ {{WRT|Integration}} $x$ between $a$ and $b$'''
or:
: '''The integral of $f$ of $x$ dee $x$ from $a$ to $b$'''
\end{definition}