Evaluate the Integral $$\int 5 x ^ { 2 } \sqrt [ 4 ] { 10 + 2 x ^ { 3 } } d x$$

question 56

Multiple Choice

Evaluate the integral.
- $$\int 5 x ^ { 2 } \sqrt [ 4 ] { 10 + 2 x ^ { 3 } } d x$$

• A) \(- \frac { 10 } { 3 } \left( 10 + 2 x ^ { 3 } \right) ^ { - 3 / 4 } + C\)
• B) \(5 \left( 10 + 2 x ^ { 3 } \right) ^ { 5 / 4 } + C\)
• C) \(\frac { 2 } { 3 } \left( 10 + 2 x ^ { 3 } \right) ^ { 5 / 4 } + C\)
• D) \(4 \left( 10 + 2 x ^ { 3 } \right) ^ { 5 / 4 } + C\)

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Definitions:

Coercive Power

Coercive Power is the ability to control others through threats or punishment, often used in a negative context to compel obedience.

Negative Reinforcement

Negative Reinforcement is a behavioral concept where removing an unwanted stimulus following a desired behavior increases the likelihood of that behavior being repeated.

Legitimate Power

Legitimate Power is the authority that a person or organization has that is viewed as rightfully held, often given by a higher authority or institution.

Reward Power

The capability of influencing others’ behavior by offering them something desirable as a means of motivation or incentive.