Evaluate the Integral $$\int _ { 4 } ^ { \sqrt { 17 } } \sqrt { x ^ { 2 } - 16 } d x$$

question 1

Short Answer

Evaluate the integral. $$\int _ { 4 } ^ { \sqrt { 17 } } \sqrt { x ^ { 2 } - 16 } d x$$

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Definitions:

Regenerative Braking

A method of braking in which energy is recovered and converted into electrical energy, which can then be stored and used later, often found in hybrid and electric vehicles.

Kinetic Energy

The energy an object possesses due to its motion, which is dependent on the mass and the square of its velocity.

Pressure Differential Valve

A valve used in hydraulic systems to maintain a consistent pressure difference between two points, crucial in braking systems for safety.

Metering Valve

A valve in brake systems that controls the flow of brake fluid, ensuring proper balance and timing in brake application.