Answer
$\int ^{4}_{0}\int ^{y}_{0}\dfrac {2}{\left( x+1\right) \left( y+1\right) }dxdy=\ln ^{2}\left( 5\right) \approx 2.59$
Work Step by Step
Using computer as asked in question we get
$\int ^{4}_{0}\int ^{y}_{0}\dfrac {2}{\left( x+1\right) \left( y+1\right) }dxdy=\ln ^{2}\left( 5\right) \approx 2.59$