Evaluate the Integral Using the Indicated Trigonometric Substitution $$\int \frac { d x } { x ^ { 2 } \sqrt { x ^ { 2 } - 36 } } ; x = 6 \sec \theta$$

question 15

Short Answer

Evaluate the integral using the indicated trigonometric substitution. $$\int \frac { d x } { x ^ { 2 } \sqrt { x ^ { 2 } - 36 } } ; x = 6 \sec \theta$$

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Definitions:

Peripheral Vasodilatation

The expansion of blood vessels in the outer parts of the body, which can increase blood flow and decrease blood pressure.

Cardiac Output

The volume of blood the heart pumps through the circulatory system in one minute, an important measure of heart function.

Blood Pressure

The pressure exerted by circulating blood upon the walls of blood vessels, a critical measure of cardiovascular health.