intwbf

[[f1 ... fm] [v1 ... vn] [v1 w1 ... vp wp]] intwbf [g1 ... gq]
<poly>|<string> f1 ...fm; <string> v1 ... vn;
<string> v1 ... vp; <integer> w1 ... wp;
<poly> g1 ... gq;
f1 ... fm are generators, v1 ... vn are variables,
w1 is the weight of the variable v1, ...
THE ORDERS OF INTEGRAL VARIABLES MUST BE SAME BOTH IN THE SECOND AND
THE THIRD ARGUMENTS. INTEGRAL VARIABLES MUST APPEAR FIRST.
If the weight is not generic, then the function exits with error.
Example 1: [[(x-y) (Dx+Dy)] [(y) (x)] [(y) -1 (Dy) 1]] intwbf
            integrate only for y.
Example 2: [[(-3 x^2 Dy-2 y Dx) (2 x Dx+3 y Dy+6)] [(x) (y)]
            [(x) -1 (Dx) 1 (y) -2 (Dy) 2]] intwbf
Example 3: [[[(0) (x^2 Dx+x)] [(Dx^2+x Dx^3) (0)]] [(x)]
            [(x) -1 (Dx) 1]] intwbf