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## Homework Statement

Evaluate the double integral [tex]\int \int_{R} ln(xy) dA[/tex] where [tex]R[/tex] is the rectangle bounded by [tex]x=e, x=e^2,y=1,y=e[/tex].

## Homework Equations

[tex]ln (xy) = ln x + ln y[/tex]

## The Attempt at a Solution

I was just wondering, do I need to do anything other than take the integral with respect to x, plug in the bounds, and then take the integral with respect to y, and plug in the bounds? I know to use integration by parts for ln x, and I know to break the ln xy up, but is it fine just to treat the ln y as a constant even if I do integration by parts? That would make it become x ln y. Thanks.