The value of the triple integral is

To evaluate the triple integral, we integrate sequentially from the innermost variable x to the outermost z. First, integrating (2xy - z^3) with respect to x from -3 to 3 yields [x^2y - xz^3] evaluated at the limits, which simplifies to (9y - 3z^3) - (9y + 3z^3) = -6z^3. Next, integrating this result with respect to y from 0 to 1 gives [-6yz^3] from 0 to 1, resulting in -6z^3. Finally, integrating with respect to z from 1 to 2 produces [-6(z^4/4)] evaluated from 1 to 2. This calculation yields -3/2(16 - 1) = -45/2 or -22.5. Since the computed value is -22.5, it does not match options A (9), B (18), or C (0). Therefore, the correct choice is D: none of these.