Evaluate the definite integral. IT/2 4 cos(x) sin(sin(x) ) dx 1.84 XBreathing is cyclic, and a full respiraton/ cycle from the beginning of inhalation to the end of exhalation takes about 5 seconds. The maximum rate of air flow into the lungs is about 0.6 Us This explains, in part, why the function f(t) = % sin() has often been used to model the rate of air flow into the lungs. Use this model to find the volume of inha ed air in the lungs at time t. Wt) = liters \fSet up an integral for the area of the shaded region. Evaluate the integral to find the area of the shaded region. y Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the shaded region.