Question: Let f : R - R be a continuous function and F be an antiderivative of f . If F(0) = 6, F(1) = -8

Let f : R - R be a continuous function and F be an antiderivative of f . If F(0) = 6, F(1) = -8 and ex(x-1)F(x) dx = 17+ ex(x-1f(x) dx, then xet(x-1) F(x) dx
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