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Does This Integral ∫\int xe−x(x−1)2\frac { x e ^ { - x } } { ( x - 1 ) ^ { 2 } }

Question 71

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Does this integral ∫\int xe−x(x−1)2\frac { x e ^ { - x } } { ( x - 1 ) ^ { 2 } } dx = e−x1−x\frac { e ^ { - x } } { 1 - x } + C?

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