Integrate [ Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [ x^2 Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [ x^4 Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [ x^6 Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [ x^8 Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [ x^10 Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [Exp[x] Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [ Sqrt[x] Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [ Sqrt[x^2+y^2] Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [ (x^2+y^2) Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]

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Integrate [ 1/(x^2+y^2+1) Boole[x^2+y^2<1], {x,-1,+1},{y,-1,+1}]