Calculating Total Pollutant Exposure
The concentration of a pollutant is modeled by the function , where is the concentration in parts per million (ppm) and is the time in hours. Calculate the total pollutant exposure in ppm·hours over the first 8 hours by evaluating the definite integral of from to .
A
48 ppm·hours
B
72 ppm·hours
C
56 ppm·hours
D
64 ppm·hours, a value likely arising from an overestimate of the area under the curve due to miscalculation of the integral.
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