Answer
True
Work Step by Step
\[\begin{align}
& \text{The statement is True, from the definition of the integral} \\
& \text{we know that:} \\
& \int_{a}^{b}{f\left( x \right)}dx=\underset{x\to \infty }{\mathop{\lim }}\,\sum\limits_{i=1}^{n}{f\left( {{x}_{i}} \right)\Delta x} \\
\end{align}\]