Double Integral. Question 1,2,3 with working please.

1. Consider a body defined in y 0, which lies below the surface z = y and above the region R in the xy-plane with edges given by y = 0, y = 1/3 (4 x^2) and x = y + 2y^2.

a) Define the region R as the union of two regions, separated by the line x = 1. In one region let y be the inner variable and in the second region let x be the inner variable of integration.

1. (b) Calculate the volume of the body.