Help w/ Multivariable Calc Problem

[ZachB]

Anybody who's been in Multivariable Calculus, please help me with this one:

Find the maximum value of:
[unparseable or potentially dangerous latex formula]

for

[unparseable or potentially dangerous latex formula]

Also, if could explain the logic and techniques behind the solution, I would be endlessly appreciative.

P.S. I # at latex, so ignore the additional ["13's and the $'s.

[AuSmith]

I have two questions for you:

1) What's the Fundamental Theorem of Calculus (FTC)?

2) How does calculus tell you to find the maxima of a function on a closed interval?

[ZachB]

yes, I know both of those, but I don't know how to apply it to integrating a function with two variables.

[AuSmith]

Treat the other variable as a constant. It's like reverse partial differentiation (donchuknow).