You need to know the region in the -plane that you're integrating over. This should be specified in the problem. What you've written, , doesn't make any sense.
Calculate the integral:
f(x, y, z) = xy
r(u, v) = (u - v, u + v, 2u + v + 1) u[0, 1] ; v[0, u]
What i didn't get is how to calculate the limits of the double integral, how to transform v[0, u] in v[0, number].
I've tried to calculate in this way (but it didn't worked)