\documentclass[addpoints]{exam}[14pt]
\usepackage{amsmath,amssymb,amsthm,tikz,enumerate,pgfplots,tabulary, multicol, enumitem}
\begin{document}
\begin{questions}

\question Multiple choice: for each of the following integrals, \textbf{circle a single method of integration} that will work. Then fill in the relevant information for \textbf{just} that method.\\

\begin{parts}
    \renewcommand{\arraystretch}{1.5}
    \part[3] $\displaystyle \int xe^{x^2}\,dx$
    
    \begin{tabular}{l l}
    
        (I) $u$-substitution & $u =$ \underline{\hspace{2cm}} \, $du =$
        \underline{\hspace{2cm}} \\[.15in]

       (II) integration by parts & $u =$ \underline{\hspace{2cm}} \, $dv =$
        \underline{\hspace{2cm}}\\[.15in]

        (III) trigonometric substitution & $x =$ \underline{\hspace{2cm}} \, $dx =$
        \underline{\hspace{2cm}}\\[.15in]

        (IV) partial fraction decomposition & Form of decomposition:
%        $\displaystyle \frac{A}{(\hspace{1cm})} + \frac{B}{(\hspace{1cm})}$\\
	\underline{\hspace{4.5cm}}
    \end{tabular}
\vfill
    \part[3] $\displaystyle \int \frac{3x}{x^2-5x-6}\,dx$

    \begin{tabular}{l l}

        (I) $u$-substitution & $u =$ \underline{\hspace{2cm}} \, $du =$
        \underline{\hspace{2cm}} \\[.15in]
        
        (II) integration by parts & $u =$ \underline{\hspace{2cm}} \, $dv =$
        \underline{\hspace{2cm}}\\[.15in]
       
        (III) trigonometric substitution & $x =$ \underline{\hspace{2cm}} \, $dx =$
        \underline{\hspace{2cm}}\\[.15in]

        (IV) partial fraction decomposition & Form of decomposition:
%        $\displaystyle \frac{A}{(\hspace{1cm})} + \frac{B}{(\hspace{1cm})}$\\
	\underline{\hspace{4.5cm}}
    \end{tabular}
    \vfill
\end{parts}



\end{questions}
\end{document}
