Definite Integral As Net Change
The rate of change of the temperature of a chemical reaction is given by the function $$p(t)$$, in degrees Celsius per minute, where $$t$$ is the time in minutes since the reaction began. Which of the following best describes the meaning of the expression $$\int_7^{15} p(t)\, dt$$?
A
The average rate of temperature change, in degrees Celsius per minute, of the reaction between the 7th and 15th minutes
B
The total temperature, in degrees Celsius, of the reaction at the 15th minute
C
The instantaneous rate of temperature change, in degrees Celsius per minute, of the reaction at the 15th minute
D
The net change in temperature, in degrees Celsius, of the reaction between the 7th and 15th minutes
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