∫∫ |xy-1| dxdy D= 0≤x≤2 0≤y≤2 绝对值打开后 怎么写分段函数?
2个回答

for xy ≤ 1

|xy-1| = -xy+1

for xy> 1

|xy-1| = xy-1

xy ≤ 1

=> x≤ 1/y for 0≤y≤2

I =∫∫ |xy-1| dxdy

= ∫∫ -xy+1 dxdy ( 0≤x≤y ) + ∫∫ xy-1 dxdy (y

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