Find the volume of the solid lying under the elliptic

Question

1. Find the volume of the solid lying under the elliptic paraboloid (x²/4) + (y²/9) + z = 1 and above the rectangle R - [-1, 1] times [-2, 2].

2. a. Sketch the region of the integrate and change the order of integration of integrate ₀∫¹ integrate _3y∫³ e^{x^2} dxdy.

b. Evaluate the integral ₀∫¹ integrate _3y∫³ e^{x^2} dxdy by evaluating the integral in (a) in which the order of integrate has been reversed.