Use a Table of Integrals to Evaluate the Integral $$\int x ^ { 3 } \sin \left( x ^ { 2 } + 3 \right) d x$$

question 9

Multiple Choice

Use a table of integrals to evaluate the integral. $$\int x ^ { 3 } \sin \left( x ^ { 2 } + 3 \right) d x$$

• A) \(\frac { 1 } { 2 } \sin \left( x ^ { 2 } + \sqrt { 3 } \right) - \frac { 1 } { 2 } x ^ { 2 } \cos \left( x ^ { 2 } + \sqrt { 3 } \right) + C\)
• B) \(\frac { 1 } { 2 } \sin \left( x ^ { 2 } + 3 \right) - \frac { 1 } { 2 } x ^ { 2 } \cos \left( x ^ { 2 } + 3 \right) + C\)
• C) \(- \frac { 1 } { 2 } \sin \left( x ^ { 2 } + \sqrt { 3 } \right) - \frac { 1 } { 2 } x ^ { 2 } \cos \left( x ^ { 2 } + \sqrt { 3 } \right) + C\)
• D) \(- \frac { 1 } { 2 } \sin \left( x ^ { 2 } + 3 \right) - \frac { 1 } { 2 } x ^ { 2 } \cos \left( x ^ { 2 } + 3 \right) + C\)

Comprehend the components and applications of the social learning theory.

Recognize the significance of organizational learning and its dependence on individual learning and knowledge sharing.

Identify and analyze the A-B-C model of behavior modification and its implementation in organizational settings.

Understand the concept of self-reinforcement and its role in individual behavior modification.

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Definitions:

Thermal Energy

The internal energy of a system due to its temperature, related to the motion of its particles.

Molecular Energy

The sum of kinetic and potential energy at the molecular level, influencing the motion and interactions of molecules.

Chemical Reactions

Processes that involve the rearrangement of molecular or ionic structure of substances, resulting in new products.

Temperature

A measure of the average kinetic energy of the particles in a system, reflecting the system's thermal state or degree of heat.