%
% Barehands Integration
% Activity 3
% (sec. 5.2)
% A short version of an activity borrowed from Harel Barzilai
%

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\begin{center}
\large\bf Project Based Math 112, Fall 2001\\
Activity \#3 --- Barehands Integration\\[.25in]
\end{center}

\begin{enumerate}
\item Using the definition of the definite integral, calculate
$\int_0^b c\,dx$ (where c is a constant).
\vspace{\stretch{4}}

\item Use this to find $F_1(h)$, where
$F_1(h) = \int_0^h c\,dx$ (where c is a constant).
\vfill

\item Use the definition of the definite integral to calculate
$\int_a^b c\,dx$ (c is still a constant).
\vspace{\stretch{4}}

\item Express the answer to (3) in terms of $F_1$.
\vfill

\begin{center}
{\sc Over} $\Longrightarrow$
\end{center}
\newpage

\item Using the definition of the definite integral, calculate
$\int_0^b x\,dx$.
\vspace{\stretch{4}}

\item Use this to find $F_2(h)$, where
$F_2(h) = \int_0^h x\,dx$.
\vfill

\item Use the definition of the definite integral to calculate
$\int_a^b x\,dx$.
\vspace{\stretch{4}}

\item Express the answer to (7) in terms of $F_2$.
\vfill
\end{enumerate}
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