Find the volume of the region that is under the graph of f(x,y) = x^2 + y^2 and above the triangle y less than or equal to x and x greater than or equal to 0 less than or equal to 1.
I would appreciate an guidance you all are willing to give. These nested integrals are really hard for me to set up!!!! Frostking
I see clearly that the bounds for x should be 0 to 1 and for y 0 to x. I also understand that you would use the function x^2 + y^2 but what still confuses me is how are we taking into account the area of the triangle???? Why do I not have to subtract 1/2 base times height from x^2 + y^2??? Thanks very much for your input. Frostking