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\noindent
\textbf{Directions:}  
\begin{enumerate}
	\item Write your name with one character in each box below.
	\item Show all work.  No credit for answers without work.
	\item All answers should be simplified.
\end{enumerate}

\newpage
\headers{Math156 Sec 005}{Quiz 2}{Aug 28, 2026}

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\vspace{1.5cm}

\newcommand{\myspc}{\vspace{5.5cm}\\~}

\begin{enumerate}

\item\ppoints{6}{2} Use the $u$-substitution to compute the following.
\begin{multicols}{2}
\begin{enumerate}
    \item $\displaystyle \int_1^3 \frac{\ln x}{x} \: dx$
    \myspc 
    
    \item $\displaystyle \int x(x^2 + 1)^4 \: dx$
    \myspc 
    
    \item $\displaystyle \int \sec^2 x \tan^2 x \: dx$
    \myspc 

    \columnbreak    
    \item $\displaystyle \int \frac{x^2}{1+x^6} \: dx$
    \myspc 
    
    \item $\displaystyle \int x^3(x^2 + 1)^4 \: dx$
    \myspc 

    \item $\displaystyle \int \frac{1}{x^2-2x+5} \: dx$
    \myspc 
\end{enumerate}
\end{multicols}

\end{enumerate}
\end{document}