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( 方 法 2)<br />
∑<br />
∑<br />
令 I<br />
= ydzdx,<br />
1 ∫∫<br />
∑<br />
2<br />
1 z<br />
D zx<br />
∴<br />
: y = 8 − x − ( 右 侧 ),<br />
2<br />
2 z<br />
: y = − 8 − x − , ( 左 侧 ),<br />
2<br />
( x,<br />
z) 0 ≤ z ≤ 8 − x , −2<br />
2 ≤ ≤ 2 2},<br />
= {<br />
x<br />
I1 = ydzdx<br />
=<br />
=<br />
∑<br />
1<br />
∫∫<br />
+ ∑<br />
2<br />
∫∫ 8 − x − zdzdx<br />
+<br />
D zx<br />
2<br />
∫∫<br />
D zx<br />
8<br />
−<br />
2<br />
x<br />
2<br />
−<br />
zdzdx<br />
∫∫<br />
D zx<br />
Σ 2<br />
8<br />
−<br />
x<br />
2<br />
x<br />
8<br />
O<br />
−<br />
o<br />
z<br />
zdzdx<br />
Σ 1<br />
y
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