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\noindent
{\bf Math 125} \hfill {\bf Quiz 1} (20 minutes)  \hfill %date 
\bigskip

\noindent
{\bf Name} \underbar{\hskip 2in} \hfill
{\bf Student number} \underbar{\hskip 1in} \hfill
{\bf Quiz section:} \underbar{\hskip .5in}

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\noindent{\it There are three problems in this quiz 
(the other one is on the back of this page), total of 20 points.
Write legibly and show your work fully.}

\vskip 0.2truein

\noindent {\bf 1} Find the most general antiderivative of
the function

\medskip

\noindent (a) (4 points) $f(x)=x^{1/3} + e^{-3x}$;


\vskip 2.0truein

\noindent (b) (4 points) $g(x)=\sin x \cos x$.

\vskip 2.5truein

\noindent {\bf 2.} (6 points) Find function $f$ such that
$f''(x)=-3(x+1)^{-2}+\cos x$ with
$f(0)=1$ and $f'(0)=0$.

\vfill \eject


\noindent {\bf 3}
Evaluate $\ds\int_0^5 (3-x)\, dx$ by interpreting it in
terms of areas.


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