Evaluate the Integral $$\int _ { 0 } ^ { 1 / 2 } 12 x \cos \pi x d x$$

question 131

Short Answer

Evaluate the integral.
$$\int _ { 0 } ^ { 1 / 2 } 12 x \cos \pi x d x$$

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Definitions:

Operating Expenses

Costs related to the day-to-day functions of a business that are not directly tied to the production of goods or services, such as rent, utilities, and salaries.

Direct Materials Purchases

The total cost of raw materials bought by a company for use in the production process during a specific period.

Factory Overhead Cost

Costs not directly tied to a specific unit of production or operation, such as maintenance, utilities, and rent.

Zero-Based Budgeting

A budgeting approach where every expense must be justified for each new period, starting from a "zero base."