(873, #25) Sketch the solid whose volume is given by the integral

Solution: The limits of integration can be described by the inequalities

0 <= y <= 2 - 2 x
0 <= z <= 1 - x
0 <= x <= 1

That is for fixed x, y varies between 0 and 2 -2 x and z varies between 0 and 1. The solid underlying the integral is displayed below.

by: gm