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這怎麼會是難題呢?做球面座標變換,則積分區域 V:0≤r≤1,0≤θ≤2π,0≤φ≤π, 這樣 ∫∫∫(V)(x²;+y²;+z²;)dxdydz =∫∫∫(V)r²;rsinφdrdθdφ =∫[0,1]r³;dr*∫[0,2π]dθ*∫[0,π]sinφdφ =……
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