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\begin{document}

\begin{center}
\Huge{Substitution Rule}
\end{center}




\begin{enumerate}
\item Find:

$\displaystyle{\int e^{5x} \,dx}$ \hspace{2.2in} $\displaystyle{\int (x+1)(2x+x^2)^{\frac{5}{2}} \,dx}$



\vfill
 $\displaystyle{\int \frac{\sin (\sqrt{x})}{\sqrt{x}} \,dx}$ \hspace{2.2in} $\displaystyle{\int \frac{1}{5x+1}\,dx}$

\vfill

 $\displaystyle{\int x^3\sqrt{1+x^2}\,dx}$ 

\vfill


\newpage

\item Find:

$\displaystyle{\int_{-1}^3 e^{5x} \,dx}$ \hspace{2.2in} $\displaystyle{\int_{4}^9 (x+1)(2x+x^2)^{\frac{5}{2}} \,dx}$

\vfill

 $\displaystyle{\int_1^4 \frac{\sin (\sqrt{x})}{\sqrt{x}} \,dx}$ \hspace{2.2in} $\displaystyle{\int_1^4 \frac{1}{x^2}\sqrt{1+\frac{1}{x}}\,dx}$

\vfill
 $\displaystyle{\int_0^1 \frac{1}{(1+\sqrt{x})^4}\,dx}$ 

\vfill

\end{enumerate}

\end{document}
