BY inspection the RVs are dependent.
AND you need to find the correct region where the density is nonzero.
I hope this is in the right place.
Given the joint pdf
f (u, v) = u + v , u > 0, v < 1
determine if U and V are independent
i tried to find f(u) by integrating the joint pdf from 0 to infinity... but my answer comes up to be infinity?
for v, i integrated the joint pdf from negative infinity to 1
is this the only way to find independence? f(u, v) = f(u) * f(v)?