APFIVE Total Accumulation from a Rate Function
The rate at which a power plant generates electricity is modeled by the function $$r(t) = 22 + 10\sin\bigl(\tfrac{\pi t}{48}\bigr)$$, where $$r(t)$$ is measured in megawatts per hour and $$t$$ is the number of hours after operation begins. To the nearest megawatt-hour, what is the total amount of electricity generated from time $$t = 0$$ to $$t = 72$$ hours?
A
$$1692$$
B
$$1800$$
C
$$1584$$
D
$$1737$$
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