APFIVE Wind Turbine Energy from Power Integral
A wind turbine has a power output function given by $$P(t)=200*(1-e^{-0.1*t})$$ in kilowatts, where $$t$$ is time in hours. Calculate the total energy produced (in kWh) by the turbine from $$t=0$$ to $$t=10$$ hours by evaluating the integral $$E=\int_{0}^{10}200*(1-e^{-0.1*t})\,dt$$.
A
Approximately $$2000*e^{-1} \approx 736 \text{ kWh}$$
B
Approximately $$800 \text{ kWh}$$
C
Approximately $$600 \text{ kWh}$$
D
Approximately $$920 \text{ kWh}$$
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