b. (5) If f is a continuous function such that $$\int_{1}^{x} f(t)dt = (x - 1)e^{2x} + \int_{1}^{x} e^{-t}f(t)dt$$ for all x, find f(x).
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b. (5) If f is a continuous function such that $$\int_{1}^{x} f(t)dt = (x - 1)e^{2x} + \int_{1}^{x} e^{-t}f(t)dt$$ for all x, find f(x).