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第二类曲面积分第五节

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=<br />

=<br />

2π<br />

(<br />

2 2<br />

ρ sin θ 1)<br />

∫ ∫ +<br />

0<br />

2<br />

0<br />

2<br />

2 dθ ρdρ<br />

64 2 π<br />

2 π<br />

× ∫<br />

2<br />

1<br />

2 sin θdθ<br />

+ 2∫<br />

× 8dθ<br />

4 0<br />

0 2<br />

= 32 π +<br />

= 48π<br />

16π

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