freeware
http://groups.yahoo.com/group/mathc/ * Calculus : Triple integrals, with the simpson's rule.
************
* I have verify with maple. You can see the result into some text files.
************
c17n_1a.c fa.h : DX DY DZ
(+1.0 (1-z (1-y-z
A = int( int( int( y*z dx dy dz = 0.008331
(+0.0 (0 (0
************
c17m_2c.c fc.h : DX DZ DY
(+1.0 (sqrt(1-y**2) (2-y-z
A = int( int( int( 1 dx dz dy = 6.28190
(-1.0 (-sqrt(1-y**2) (0
************
c17n_3e.c fe.h : DY DX DZ
(+1.0 (2-2*z (z**2+x**2+1
A = int( int( int( 1 dy dx dz = 1.833417
(+0.0 (0 (0
************
c17n_4g.c fg.h : DY DZ DX
(+1.0 (4-x**2 (6-z
A = int( int( int( 1 dy dz dx = 20.265067
(-1.0 (3*x**2 (0
************
c17n_5i.c fi.h : DZ DX DY
(+4.0 (sqrt(y) (4-y
A = int( int( int( 1 dz dx dy = 17.052845
(+0.0 (-sqrt(y) (0
************
c17n_6k.c fk.h : DZ DY DX
(+2.0 (x**2 (x+y
A = int( int( int( 2*x**2*y dz dy dx = 64.134368
(-1.0 (1 (0