Use the following steps to evaluate the integral ∬ 2+1/y dA where D is the triangular region with vertices (1,1),(4,4) and (7,1). a. Sketch the region D given by the problem. Please include all pertinent information like scale on axis, function(s) labeled, points of intersection, region shaded, etc.
b. Set up the iterated integrals, in both orders, that evaluate the given double integral for the described region D.
c. Evaluate one of the iterated integrals symbolically to find the signed volume under the surface over the region D. Show each step in evaluating your integral.