(Steps Shown) The rate of change of the temperature in a museum during a junior high school field trip can be modeled by T(h)=-6.49h^3+24.69h^2-14.87h+4.59
Question: The rate of change of the temperature in a museum during a junior high school field trip can be modeled by
\[T\left( h \right)=-6.49{{h}^{3}}+24.69{{h}^{2}}-14.87h+4.59\]o F per hour, h hours after 8am.
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Evaluate
\[\int\limits_{2}^{4}{T\left( h \right)dh}\] - Interpret the answer to part (a).
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