Definite Integrals from the Definition


\begin{example}
Define $f$\ by the equation $f(x)=x^{3}$. Calculate the integra...
...
255}{4}\right) \\
=\allowbreak \frac{255}{4}
\end{eqnarray*}
\end{example}

For comparison, you can compute this integral directly.

$\blacktriangleright$ Evaluate

$\dint_{{1}}^{{4}}$f (x)dx = ${\dfrac{{255}}{{4}}}$