\subsection{\bf Strategies for Manipulating Integrals}
\subsection{\bf before using}
\subsection{\bf Standard Numerical Integration}

\begin{slide}
\begin{itemize}

\item (iii) Points of Technique

\item Note, when evaluating $I=\int^b_a f(x)\,g(x)\,dx$, one can
choose between two strategies

\begin{description}
\item{$\bullet$ (a)} Change of variable.  For example, $dy=g(x)\,dx$
converts integral to $g(y)=1$ form.
\item{$\bullet$ (b)} Newton-Cotes (or Gauss---see NI.3) formula with
weight function $g(x)$.
\end{description}

\item A third strategy is to change the integration range (e.g., to take
$b$ from $\infty$ to finite value).

\item How do we choose between strategies and how to implement them?
\end{itemize}

\end{slide}

