Definition:Definite Integral/Limits of Integration/Upper Limit

Definition
Let $a, b \in \R$ be real numbers such that $a \le b$.

Let $f: \R \to \R$ be a real function.

Let the definite integral of $f$ $x$ from $a$ to $b$ be:
 * $\displaystyle \int_a^b \map f x \rd x$

The limit $b$ is referred to as the upper limit of the integral'''.

Also see

 * Definition:Lower Limit of Integration