Question: The rate of change of the temperature in a museum during a junior high school field trip can be modeled by

\[T\left( h \right)=-6.49{{h}^{3}}+24.69{{h}^{2}}-14.87h+4.59\]

^oF per hour, h hours after 8am.

(a) Evaluate

\[\int\limits_{2}^{4}{T\left( h \right)dh}\]

(b) Interpret the answer to part (a).