\documentclass{exam}[12pt]

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\begin{document}
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\firstpageheader{\large Calculus I}{\bf\Large Fundamental Theorem of Calculus}{\large Name:\hspace{1in} }
\extraheadheight{.7in}
\extrafootheight{-1in} 
%\small{\textit{Work all questions completely.  Show all work.}}

\begin{questions}
\large{
\question Find the exact area under the graph of $f(x) = 5x^2+2$ between 
$x=0$ and $x=1$.
\vspace{1.5in}

\question Find the exact area under the graph of $f(x)= 3x^2 +1$ 
between $x=0$ and $x=1$.
\vspace{1.5in}


\question Find the exact area under the graph of $f(x)= 2x+1$ 
between $x=0$ and $x=3$.
\vspace{1.5in}

\question Find $\displaystyle \frac{d}{dx} \int_2^x 3t -2 \, dt$.
\vspace{1in}

\question Find $\displaystyle \frac{d}{dx} \int_{x^2}^4  3\sec^2(u) \, du$.
\vspace{1in}
\question Find $\displaystyle \frac{d}{dx} \int_{e^{5x}+\tan(3x)}^6
 \ln(w)  \, dw$.
\vspace{1in}





}
\end{questions}
\end{document}