In this forum you should be able to evaluate the dx limits first then then the dy limits after.
Try doing that by integrating sec(x)dx with the appropriate limits and show us what you got.
Well i actually did get that far, and got
integral sign (0 to 1) ln(sqrt2 +1)+ln((sec(tan)^-1(y)) +y) dy
then i used the identity (tan(x))^2+1 = (sec(x))^2 to get ,
integral sign (0 to 1) ln(sqrt2+1) - ln(sqrt(y^2+1) +y) dy
this is where i got stuck. Do i proceed using by parts ?