Your limits are off.
It should be clear that
So your integral should be
The question:
Find the volume of the solid in the first octant bound by the graphs of z=1-y^2, y=2x, and x=3.
My attempt:
The reason why I changed the limits of integration was because I need x,y,z all to be greater than or equal to 0..however, I am not getting the correct answer of 15/8.
Any suggestions?
Thanks,
Mike.