Evaluate the Integral If It Exists $$\int \left( \frac { 5 - x } { x } \right) ^ { 2 } d x$$

question 15

Multiple Choice

Evaluate the integral if it exists.
$$\int \left( \frac { 5 - x } { x } \right) ^ { 2 } d x$$

• A) \(1 - 10 \ln x + C\)
• B) \(x - 10 \ln x - \frac { 25 } { x } + C\)
• C) \(\ln x - 25 x + C\)
• D) \(x - \frac { 1 } { 10 \ln x } + C\)
• E) none of these

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Definitions:

Margin of Safety

The difference between actual or projected sales and the break-even point, indicating the amount by which sales can drop before reaching a loss.

Break-even Point

The point at which total cost and total revenue are equal, resulting in neither profit nor loss.

Break-even Sales

The amount of revenue required to cover total costs, both fixed and variable, at which point a business neither makes a profit nor suffers a loss.

Variable Cost

Overheads that move in sync with the volume of manufacturing or sales, covering labor and material costs.