1. Consider the double integral - ardA R where R = {(r, y) ER'|(x - 4)'

1. Consider the double integral where R = R21(. y 4}. (a) Make a neat, labelled sketch of the region R in the xy-plane. (b) Express this double integral as an integral with respect to y first, then a: that is using a dyd:r rather than a [IA, with correct limits of integration. (c) Express this double integral as an integral with respect to 1: first, then y that is using a d:rdy rather than a dA, with correct limits of integration (reversing the order of integration compared to (b) above). Evaluate this double inteu-ral usinu either Vo