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The estimated rate at which oil will be produced from a certain oil well t years after production has begun is given by R(t) =

The estimated rate at which oil will be produced from a certain oil well t years after production has begun is given by R(t) = 7 + 2e 4t + te4t (t 0) thousands barrels per year. Find an expression that describes the total production of oil at the end of year t.

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