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The management of an oil company estimates that oil will be pumped at a rate given by R(t)= (55/square root t + 8) in thousands of barrels per year. How many barrels will be produced the first 9 years? (use fundamental theorem)
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\[R(t)=\int\limits\limits_{0}^{9}55/\sqrt{t+8}=110\sqrt{t+8}\]Plug in 9 for t: \[110\sqrt{9+8}=453\] So the closest answer is 454.
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\[\int\limits x/(2 x^2-3)^3 dx = -1/(8 (3-2 x^2)^2)+C\]
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