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