I received a question on a previous exam, but I had no clue how to go about doing it. I know I'm supposed to use the MVT, IVT and FTC, but I'm not sure where. The question is Suppose f(x) is integrable on [a,b], with f(x)>=0 on [a,b], and that g(x) is continuous on [a,b]. Assuming that f(x)g(x) is integrable on [a,b], show that EEc in [a,b]

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C) $c_1{e}^{-<!--\; -\; -->x}+c_2{e}^{-<!--\; -\; -->2x}$
D) $c_1{e}^{-<!--\; -\; -->2x}+c_2{2}^{-<!--\; -\; -->x}$

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