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\leftline{MATH 132, section 1 -- Calculus for Physical and Life Sciences}
\leftline{Discussion 3 -- Table of Integrals Practice}
\leftline{February 12, 2008}
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\noindent
Do all the integrals below by finding an appropriate entry from 
the table in the text, and put the work for your group's integral up 
on the board.  Note:  Some of these will require preliminary 
algebra and/or a $u$-substitution to match a table entry exactly.
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\begin{enumerate}
\item (I) and (V) \[ \displaystyle \int x^2 \sin(x^3)\cos(3 x^3)\ dx\]
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\item (II) and (VI) \[\displaystyle \int \frac{dx}{(3 + 5e^x)^2}\]
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\item (III) and (VII) \[\displaystyle \int \frac{dx}{x\sqrt{4(\ln(x))^2 + 4\ln(x) + 2}}\]
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\item (IV) \[\displaystyle \int \frac{\sin(x) dx}{\sqrt{4\cos^2(x) + 4\cos(x) - 3}}\]
\end{enumerate}
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