1. Consider the double integral [fa-ram a where R = {ay} E Hilts 4)?

1. Consider the double integral where R = { (x, y) R21(x < y 4}. (a) Make a neat, labelled sketch of the region R in the xy-plaue. (b) Express this double integral as an integral with respect to y first, then a; that is using a dydx rather than a CIA, with correct limits of integration. (c) Express this double integral as an integral with respect to first, then y that is using a dxdy rather than a dA, with correct limits of integration (reversing the order of integration compared to (b) above). (d) Evaluate this double integral using either your answer to (b) or (c).