设D:0≤x≤1,0≤y≤1,?D(x+y)sgn(x-y)dxdy=______
设D:0≤x≤1,0≤y≤1,?D(x+y)sgn(x-y)dxdy=______....
设D:0≤x≤1,0≤y≤1,?D(x+y)sgn(x-y)dxdy=______.
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伤597
推荐于2016-07-13
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设D
1={(x,y)|x≥y,(x,y)∈D},D
2=D-D
1,则
(x+y)sgn(x?y)dxdy=(x+y)dxdy?(x+y)dxdy=∫dx∫(x+y)dy?∫dx∫(x+y)dy=0故答案为:0.
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