and above the region bounded by the curves
for
.
Solution:
Setting up the integral:
The following is the code used on the Computer Algebra System Maple to solve the problem.
f:=(x,y)->x^3*y^4+x*y^2;
int(int( f(x,y),y=x^3-x..x^2+x),x=0..2);
by: gm