Evaluate the Integral Using the Given Substitution $\int \sqrt { x } \cos ^ { 2 } \left( x ^ { 3 / 2 } - 6 \right) d x , \quad u = x ^ { 3 / 2 } - 6$

question 93

Multiple Choice

Evaluate the integral using the given substitution.
- $\int \sqrt { x } \cos ^ { 2 } \left( x ^ { 3 / 2 } - 6 \right) d x , \quad u = x ^ { 3 / 2 } - 6$

• A) \(\frac { 1 } { 3 } \left( x ^ { 3 / 2 } - 6 \right) + \frac { 1 } { 6 } \sin 2 \left( x ^ { 3 / 2 } - 6 \right) + C\)
• B) \(\frac { 1 } { 3 } ( \sqrt { x } ) \sin \left( x ^ { 3 / 2 } - 6 \right) + C\)
• C) \(x ^ { 3 / 2 } - 6 + \frac { 1 } { 2 } \sin 2 \left( x ^ { 3 / 2 } - 6 \right) + C\)
• D) \(\frac { 2 } { 9 } \sin ^ { 3 } \left( x ^ { 3 / 2 } - 6 \right) + C\)

Appreciate the role of the risk premium in evaluating stocks and determining their expected return in relation to risk.

Understand the concepts of fixed and variable costs.

Comprehend capacity planning strategies, capacity measures, and the significance of capacity decisions.

Grasp the principles of the "drum, buffer, rope" system.

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