Approximate the following double integrals using the Midpoint Method and the indicated number of subdivisions m and n, respectively, for the x and y intervals (do not attempt to find the exact value): ∫∫ sin(xy) dA, where R [0,7] x [0, 1], with m = 2 and n = 4.
∫∫ sin(xy) dA, where R [0,n] x [0, 1], with m = 4 and n = 4.
∫∫ cos(xy) dA, where R [0,3] x [0, 1], with m = 4 and n = 4.
∫∫ cos(x/y) dA, where R [0,n] x [1,3], with m = 4 and n = 4.
∫∫ e^x dA, where R [1,3] x [0,1], with m = 4 and n = 5.
∫∫ (x^2 + y) dA, where R = [1,4] x [1,3], with m = 3 and n = 4.