
求助这道二重积分题
1个回答
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先对 dx 积分,
∫[0,1] dy ∫[0,y] √ (y^2 - xy) dx
= ∫[0,1] -(2/(3y)) (y^2 - xy)^(3/2) |[0,y] dx
= ∫[0,1] (2/3)y^2 dy
= 2/9
∫[0,1] dy ∫[0,y] √ (y^2 - xy) dx
= ∫[0,1] -(2/(3y)) (y^2 - xy)^(3/2) |[0,y] dx
= ∫[0,1] (2/3)y^2 dy
= 2/9
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