Using the Jacobian, please compute the double integrals:
a) ∬xy dA
where D is the quadrilateral with vertices (3,2), (2,3), (5,3), and (3,5).
b) ∬(-xy) dA
where D is the region above the horizontal axis between the hyperbolas y^2 - x^2 = 12 and y^2 - x^2 = 3, and the lines y = 2x and y = x.
c) ∬(y^3) dA
where D is the quadrilateral with vertices (0,0), (3,-1), (5,2), and (2,3).
d) ∬xy dA
where D is the same as in the previous problem.
