Student is also given an integration problem to solve, as follows. Let R be the region in the first quadrant bounded by the circle x + y = 1, the line y = 2x and the x-axis. Further, let g(x, y) = 5x + 4y. Student is to calculate the value of the double integral JfR9(x,y) drdy. 3.5 Sketch the region R. Describe the problem that student would encounter with the double integral if integration with respect to a were carried out first. 3.6 Transform the double integral SR 9(x, y)dady into an equivalent integral in terms of polar coordinates r and 0. 3.7 Hence, evaluate this double integral, leaving your answer in exact form.