# If #f# is a continuous function such that #int_0^xf(t)dt=xe^(2x)# + #int_0^xe^-tf(t)dt# for all #x#, find an explicit formula for #f(x)# ?

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If #f# is a continuous function such that #int_0^xf(t)dt=xe^(2x)# + #int_0^xe^-tf(t)dt# for all #x# , find an explicit formula for #f(x)# ?

If

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