I'm trying to calculate the following problem, however, when I take the integral of G with respect to y, my limits tend towards infinity. I can only think of using polar co-ordinates to solve this, but I'm not sure how it would apply in a case where one of the limits is 3-7y...
Let G be the region described by the inequalities 0 ≤ x ≤ 3 − 7y
and 0 ≤ y. Present a sketch of the region G and calculate the
double integral of the function f (x, y) = 2x + y^2 over G.