136 IRE OP GRAY IT V. 



tho limits a?=0 and x <' hni include all tin* 



LplmyM which form the solid we are considering. Hence 



i: 



^ 

 where we put z l for c A/M - 2 



and for 5 



, . 

 therefore 



. f - 



therefore * - --- -r- . 



., , 3b - 3c 



Similarly y = --> 2J = '" 



We majr in this example effect the integrations with equal 

 simplicity in any order we please ; if we integrate first for x, 

 then for y, and lastly for z, we shall have 



xdzdydx 



