Question: Production On the basis of data obtained from a preliminary report by a geological survey team, it is estimated that for the first 10 years of production, a certain oil well can be expected to produce oil at the rate of \(r(t)=3.94 t^{3.55} e^{-1.35 t}\) thousand barrels per year t years after production begins.

Write the definite integral symbols representing the limits of sums in parts \(a\) and \(b\).

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