A(x)=|{:(x+1,2x+1,3x+1),(2x+1,3x+1,x+1),...

`A(x)=|{:(x+1,2x+1,3x+1),(2x+1,3x+1,x+1),(3x+1,x+1,2x+1):}|" then "int_(0)^(1)A(x)dx=`

`-15`

`(-15)/(2)`

`-30`

`-5`

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