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Does This Integral ∫xexsin⁡xdx\int x e ^ { x } \sin x d x

Question 157

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Does this integral ∫xexsin⁡xdx\int x e ^ { x } \sin x d x = −ex((x−1)cos⁡x+xsin⁡x)2\frac { - e ^ { x } ( ( x - 1 ) \cos x + x \sin x ) } { 2 } + C?

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