Evaluate the Integral Using the Given Substitution $\int \frac { d x } { \sqrt { 6 x + 3 } } , \quad u = 6 x + 3$

question 82

Multiple Choice

Evaluate the integral using the given substitution.
- $\int \frac { d x } { \sqrt { 6 x + 3 } } , \quad u = 6 x + 3$

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

Grasp the concept and application of judicial review in assessing government actions against the U.S. Constitution.

Recognize the protections offered by the Contract Clause of the Constitution against retroactive modifications.

Identify circumstances under which state legislation can conflict with federal law.

Comprehend the federal government's authority in economic matters stemming from the Commerce Clause.

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Salaries Increase

A salaries increase refers to the rise in the amount of money paid to employees for their work, often as a result of negotiations, performance evaluations, or inflation adjustments.

Economies of Scale

The cost advantage that arises with increased output of a product, where costs per unit decrease due to efficiencies gained from larger scale operations.

Long-Run Average Cost Curve

A curve showing the lowest possible cost at which a firm can produce any given level of output in the long run when all inputs are variable.

Downward Sloping

Describes a line or curve on a graph that shows a decrease in value as it moves from left to right, often used in economics to describe how changes in price affect demand.