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{\bf . . . work to do even with a ``cheat sheet'' . . . . }
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1.  Use \#32.  $u = x \Longrightarrow du = dx$, $a = \sqrt{3}$
\[
    \int \frac{\sqrt{3 - x^2}}{x} \, dx =  \int 
\frac{\sqrt{\left(\sqrt{3}\right)^2 - u^2}}{u} \, du
\]
\[
	=\sqrt{3-x^2} - \sqrt{3}\ln \left| \frac{\sqrt{3} +\sqrt{3-x^2}}{x} \right| +C
\]

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2.  Use \#101.  $u = x \Longrightarrow du = dx$
\[
    \int x^3\ln x \, dx = \frac{x^{3+1}}{(3+1)^2}\left[ (3+1) \ln x - 
1 \right] +C
\]
\[
     = \frac{x^4}{16}\left[ 4 \ln x - 1 \right] + C = \frac{x^4}{4} 
\ln x - \frac{x^4}{16} + C
\]

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