Find the volume of the solid in the first octant bounded by the coordinate planes, the cylinder x^2+y^2=4 and the plane x+z=4.

Step-by-step explanation:

The solid that you described is shown in the image of below. To compute the volume we use triple integrals. Observe that

So, the volumen of the solid is given by

This last integral equals

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)