Find the Indefinite Integral $$\int \left( 12 s ^ { 3 } - 12 s + 3 \right) d s$$

question 38

Multiple Choice

Find the indefinite integral $$\int \left( 12 s ^ { 3 } - 12 s + 3 \right) d s$$

• A) \(9 s ^ { 3 } - 12 s ^ { 2 } + 3 s + C\)
• B) \(3 s ^ { 4 } - 6 s ^ { 3 } + 3 s + C\)
• C) \(3 s ^ { 4 } - 6 s ^ { 2 } + 3 s + C\)
• D) \(3 s ^ { 4 } - 6 s ^ { 2 } + 3 + C\)
• E) \(3 s ^ { 4 } - 6 s + C\)

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Definitions:

Average Total Cost

The total of all costs divided by the number of goods produced, representing the per unit production cost.

Output

The total amount of goods or services produced by an individual, company, or country.

Total Variable Cost

The sum of all costs that vary with output level in the production process.

Marginal Cost

The augmentation in cost due to the manufacture of one additional unit of a product or service.