Solución

a. f(x,y)=12xy(x2+y2)    f(x, y) = \frac12xy\big(x^2+y^2\big)\;\; b. V=0101f(x,y)dxdy=18     V = \int_0^1\int_0^1f(x, y)dxdy =\frac18\;\; c. fprom=18f_{prom} =\frac18
d.