Evaluate the given definite integral. 
Definitions:
Hyperpyrexia
An extremely high body temperature or fever, typically above 41.1 degrees Celsius (106 degrees Fahrenheit), which can be life-threatening.
Peripheral Vascular Resistance
The resistance that blood vessels outside the heart offer against the flow of blood, playing a crucial role in determining blood pressure.
Blood Viscosity
The measure of the thickness and stickiness of an individual's blood, which affects how easily it flows through the vessels.
Pumping Action
It refers to a mechanical or physiological function where a fluid is moved through or out of a system, such as the heart pumping blood through the circulatory system.
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