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\leftline{Mathematics 241 -- Multivariable Calculus}
\leftline{Makeup Quiz 8 -- November 19, 2007 (the final quiz of the semester!)}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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\noindent
(5) A)  Evaluate $\int\!\int_R y + 1 \ dA$ where $R$ is the rectangle $R = [1,2]\times [0,3]$
in ${\bf R}^2$.
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(5) B)  Sketch the region of integration for the integral $\int_0^1 \int_x^{1 + x^2} f(x,y)\ dy\ dx$,
and interchange the order of integration (i.e. rewrite the given integral as one or more integrals 
$\int\!\int f(x,y)\ dx\ dy$).
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