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[1 point] Set up a double integral in rectangular coordinates for calculating the volume of the solid under the graph of the function x, 3}!) = 42 12 3'2 and shove the plane 2; = 6. Manuctlons: Please enter the Integrand In the rst answer box. Depending on the order of integration you choose. enter :1: and a}! in either order Into the second and third answer boxes with only one :1: or a}! in each box. 'lhen. enter the llmlts of Integration. [foam (1 point) Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the limits of integration for the following iterated integrals. (a) ( f(x, y)da = [ f f(x,y)dy dx R A= B= C= D= (b) ( f(x, ydA = / / f(x,y) dxdy R F= G= H=(1 point) Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the limits of integration for the following iterated integral. B D (a) f(x, y) dA = f(x, y) dy dx R A= B= C= D=(1 point) Consider the following integral. Sketch its region of integration in the xy-plane. X In(x) dx dy (a) Which graph shows the region of integration in the xy-plane? ? + A B (b) Write the integral with the order of integration reversed: X B D In(x) dx dy X In(x) dy dx with limits of integration C D A= B = (Click on a graph to enlarge it) C= D = (c) Evaluate the integral.(1 point) Find the volume of the region under the graph of f(x, y) = x + y + 1 and above the region yz