(872, #3) Evaluate the iterated integral

Solution:

lprint( int(x*y*z, x));
lprint( int(x*y*z, x = 0..y));
1/2*x^2*y*z
1/2*y^3*z

lprint( int(int(x*y*z, x = 0..y),y) );
lprint( int(int(x*y*z, x = 0..y),y = 0 ..z));
1/8*y^4*z
1/8*z^5

lprint(int(int(int(x*y*z, x = 0..y),y = 0 ..z), z));
lprint(int(int(int(x*y*z, x = 0..y),y = 0 ..z), z = 0..1));
1/48*z^6
1/48

by: gm