两道高数题目 求解题过程 25
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横坐标 = (1/M)∫∫xu(x,y)dxdy
= (3/5)∫dy∫x(x+2y)dx
= (3/5)∫dy[x^3/3+yx^2]
= (3/5)∫[8/3-2y^2-(2/3)y^3]dy
= (3/5)[8y/3-(2/3)y^3-(1/6)y^4]
= (3/5)(11/6)=11/10
= (3/5)∫dy∫x(x+2y)dx
= (3/5)∫dy[x^3/3+yx^2]
= (3/5)∫[8/3-2y^2-(2/3)y^3]dy
= (3/5)[8y/3-(2/3)y^3-(1/6)y^4]
= (3/5)(11/6)=11/10
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