My math is really rusty and i need to do the following double integral for a statistics problem.
so the simplified double integral goes something like this:
integral (1, 0) integral (1-x2, 0) ([c(x1^a1-1)(x2^a2-1)(1-x1-x2)^a3-1 dx1 dx2])
c is a constant.
now the hint says perform the following substitution:
u = x1/1-x2.
thus du = (1-x2)^-1 (dx1)
now i don't know what we do with the dx2 in the equation. I performed the substitution and basically, x2 = 1 - (x1/u). so all the x2's are gone in the equation and we are left with that. Shouldn't we get rid of dx2 somehow? I need help with that.