A Body Assimilates a 12-Hour Cold Tablet at a Rate $d C / d t = 8 - \ln \left( t ^ { 2 } - 2 t + 4 \right) , 0 \leq t \leq 12$

Multiple Choice

A body assimilates a 12-hour cold tablet at a rate modeled by $d C / d t = 8 - \ln \left( t ^ { 2 } - 2 t + 4 \right) , 0 \leq t \leq 12$ where $d C / d t$ is measured in milligrams per hour and $t$ is the time in hours. Use Simpson's Rule with $n = 8$ to estimate the total amount of the drug absorbed into the body during the 12 hours.

A) $\approx$ 58.915 mg
B) $\approx$ 68.915 mg
C) $\approx$ 38.915 mg
D) $\approx$ 48.915 mg
E) $\approx$ 78.915 mg