Double Integrals and Volume Over a General Region

When the region R is not a Rectangle If is defined by   and , where g and h are continuous on , then

 

Text Box 

If R is defined by  and   , where g and h are continuous on , then 

 Text Box

 

 

EXAMPLE 4: Determine the volume of in the region 

 

 

EXAMPLE 4: Determine the volume of  in the region 

 

Notice these inequalities would intersect at the point (1,1)