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Find the Area of the Region Under the Graph of the Function

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Find the area of the region under the graph of the function
Find the area of the region under the graph of the function ​   ​ on the interval   , using the fundamental theorem of calculus. Then verify your result using geometry.
on the interval Find the area of the region under the graph of the function ​   ​ on the interval   , using the fundamental theorem of calculus. Then verify your result using geometry. , using the fundamental theorem of calculus. Then verify your result using geometry.

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Definitions:

Actual Cost

The actual expenses incurred in producing a product or delivering a service, including all direct labor, materials, and overhead costs.

Materials Price Variance

The difference between the actual cost of materials purchased and the standard cost of those materials.

Materials Usage Variance

The difference between the standard quantity of materials expected to be used in production and the actual quantity used, valued at the standard cost for the materials.

Standard Cost

A predetermined cost of manufacturing a single unit or a number of product units during a specific period under current or anticipated conditions.

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