Assume breathing is cyclic and a full cycle from beginning to inhalation to end of exhalation is 4 seconds. The maximum rate of air flow into the lungs is about 0.4 L/second. Assume that we can use the function 2nt (²π²) + 4 f(t) = 0.2 cos +0.2 to model the rate of air flow into the lungs. Using this model, how much air is inhaled by the lungs after 30 seconds?

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