1) a) [4 marks] Evaluate the following integral by reversing the order of integration. Provide a sketch of the region. L'e dydx b) [5 marks] Forming the appropriate double integral, find the volume of the solid lying in the first octant and bounded by the graphs of z = 4-x, x+y=2, x = 0, y = 0 and z = 0. d) [3 marks] Change the order of integration to show that: ** (u)dudt = f*(1 u (1-u)f(u)du