Section 15.2: Integration over general 2d regions
Exercise 26
Find the volume of the solid enclosed by the paraboloid \(z = x^2 + y^2 + 1\) and the planes \(x = 0, y = 0, z = 0,\) and \(x + y = 2\).
Find the volume of the solid enclosed by the paraboloid \(z = x^2 + y^2 + 1\) and the planes \(x = 0, y = 0, z = 0,\) and \(x + y = 2\).