If income is continuously collected at a rate of f(t) dollars per year and will be invested at a constant interest rate r (compounded continuously) for a period of T years, then the future value of the income is given by ∫^T₀ f(t) er^{(T – t)} dt. Compute the future value after 6 years for income received at a rate of f(t) = 8000 e^0.04t dollars per year and invested at 6.2% interest.