oh right we are in the first octant.. so we are really only looking at a quarter of the unit circle i guess..
So my limits on the outer integral should just be from 0 to 1 right? and the limits on the inner integral should be from 0 to (sqrt(1-x^2))/2? since its just a quarter of the circle...
Find the volume of the solid in the first octant of xyz space, bounded below by the coordinate axes and the unity circle and bounded above by z = 8xy.
A) 1/2 B) 1 C) 2 D) 4 E) 8
I know definitely volume will be the double integral of 8xy dy dx.
I think my limits of integration for the...