Provide an Appropriate Response $f ( \pi )$ If $\int _ { 0 } ^ { x } f ( t ) d t = x \sin 8 x$

question 72

Multiple Choice

Provide an appropriate response.
-Find $f ( \pi )$ if $\int _ { 0 } ^ { x } f ( t ) d t = x \sin 8 x$ .

• A) 8
• B) \(8 \pi\)
• C) 0
• D) \(\pi\)

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Definitions:

Kinetic Energy

The energy that an object possesses due to its motion.

Mechanical Energy

The sum of potential energy and kinetic energy in a physical system, representing the ability to do work.

Electromagnetic Energy

Electromagnetic energy is a form of energy that is both electrical and magnetic and travels in waves, including visible light, X-rays, and radio waves.

Heat Energy

The form of energy that is transferred between substances or systems due to a temperature difference.