Having trouble figuring these out.
1. Integral 0 to ln3 integral 0 to ln2 e^x+y dydx
2. Integral 0 to 1 integral 0 to 1 x over (xy+1)^2 dydx
For second integral, I'm less certain, but here goes:
$\displaystyle \int_{0}^{1}\int_{0}^{1}\frac{xdxdy}{(1+xy)^2} = \int_{0}^{1}dx\int_{0}^{1}\frac{xdy}{(1+xy)^2}$.
For the integral over y, treat x as a constant, which yields:
$\displaystyle \int_{0}^{1}\left ( 1-\frac{1}{1+x} \right )dx$..
Which in turn yields: 1 - ln(2)