\documentclass{exam}[12pt]

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

\begin{questions}
\large{
\question Evaluate  $\displaystyle \int \sec(3x)\tan(3x) \, dx$. 
\vspace{1.5in}

\question Evaluate  $\displaystyle 3x\left(x^2 + 5\right)^7 \, dx$. 
\vspace{1.5in}

\question Evaluate  $\displaystyle \int x^2 \sqrt{2x^3 -4} \, dx$. 
\vspace{1.5in}

\question Evaluate  $\displaystyle \int \frac{e^x}{1+e^{2x}} \, dx$. 
\vspace{1.5in}

\question Evaluate  $\displaystyle \int \frac {x}{5x^2-3} \, dx$. 
\vspace{1.5in}

\question Evaluate  $\displaystyle \int \cos(3x)  \, e^{\sin(3x)} \, dx$. 
\vspace{1.5in}

\question Evaluate  $\displaystyle \int \frac {x^3}{|x^4|\sqrt{x^8 -1}}\, dx$. 
\vspace{1.5in}

\question Evaluate  $\displaystyle \int \frac{e^{\tan^{-1} x}} {1+x^2} \, dx$. 
\vspace{1.5in}


\question Evaluate  $\displaystyle \int\frac{e^{\tan^{-1}3x}} {1+9x^2} \, dx$. 
\vspace{1in}

\question Evaluate  $\displaystyle \int \tan(x) \, dx$. 
\vspace{.5in}

\question Evaluate  $\displaystyle \int \cot(5x) \, dx$. 
\vspace{.5in}


}


\end{questions}

\end{document}