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% Loki's Dilemma
% Activity 6
% (substitution - 5.5 stewart)
% A version of an activity borrowed from Stewart Instructor's Manual
%

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{\large\bf Project Based Math 112, Fall 2001\\
Activity \#6 --- Loki's Dilemma}\\
(Loki was a god in Norse mythology, with a reputation of being a
trickster.)\\[.25in]
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\begin{enumerate}
\item Compute $\int x^2 sin(x^3) cos(x^3) \,dx$, using the substitution $
u = sin(x^3).$ Check your answer by differentiating.
\vfill 

\item Compute $\int x^2 sin(x^3) cos(x^3) \,dx$, using the substitution $
u = cos(x^3).$ Check your answer by differentiating.
\vfill

\item Notice that the integrals in questions 1 and 2 are the same.  Did
you get the same answer for each?  Explain.
\vfill

\end{enumerate}

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