• 2022-06-09
    计算\(\int\!\!\!\int\limits_\sum { { x^2}dydz + {y^2}dzdx + {z^2}} dxdy\),其中\(\sum\)为长方体\(\Omega \)的整个表面外侧,\(\Omega = \{ (x,y,z)|0 \le x \le a,0 \le y \le b,0 \le z \le c\} \)。
    A: \((a + b + c)abc\)
    B: \((a -b + c)abc\)
    C: \((a + b -c)abc\)
    D: \((a - b - c)abc\)