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Does This Integral ∫xe−3xdx\int x e ^ { - 3 x } \mathrm { dx }

Question 140

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Does this integral ∫xe−3xdx\int x e ^ { - 3 x } \mathrm { dx } = - 13\frac { 1 } { 3 } xe−3xx e ^ { - 3 x } - 19\frac { 1 } { 9 } e−3xe ^ { - 3 x } + C?

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