A Body Assimilates a 12-Hour Cold Tablet at a Rate $\frac { d C } { d t } = 6 - \ln \left( t ^ { 2 } - 2 t + 4 \right)$

Multiple Choice

A body assimilates a 12-hour cold tablet at a rate modeled by $\frac { d C } { d t } = 6 - \ln \left( t ^ { 2 } - 2 t + 4 \right)$ , $0 \leq t \leq 12$ where t is measured in milligrams per hour and t is the time in hours. Use Simpson's Rule with n = 12 to estimate the total amount of the drug absorbed into the body during the 12 hours.

A) 46.88
B) 64.90
C) 34.88
D) 36.90
E) 50.90