Find the Integral $$\int \frac { x ^ { 3 } - 3 x ^ { 2 } + 6 x - 2 } { x ^ { 3 } - 2 x ^ { 2 } + x } d x$$

question 79

Multiple Choice

Find the integral. $$\int \frac { x ^ { 3 } - 3 x ^ { 2 } + 6 x - 2 } { x ^ { 3 } - 2 x ^ { 2 } + x } d x$$

• A) \(\ln \left| \frac { x - 1 } { x ^ { 2 } } \right| - \frac { 2 } { x - 1 } + x + C\)
• B) \(\ln \left| \frac { x ^ { 2 } } { x - 1 } \right| - \frac { 2 } { x - 1 } + x + C\)
• C) \(\ln \left| \frac { x ^ { 2 } } { x - 1 } \right| - \frac { 1 } { x - 1 } + x + C\)
• D) \(\ln \left| \frac { x - 1 } { x ^ { 2 } } \right| - \frac { 1 } { x - 1 } + x + C\)

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Definitions:

Prime Costs

The direct costs of manufacturing a product, specifically direct materials and direct labor.

Direct Materials

Raw materials that can be directly traced to the manufacturing of a product and are considered a variable cost.

Direct Labor

The cost of wages paid to workers directly involved in the production of goods or provision of services.

Direct Materials

The raw materials directly traceable to the manufacturing of a product and included in the cost of goods sold.