Evaluate the Integral to Six Decimal Places $$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } } { \sqrt { 64 - x ^ { 2 } } } d x$$

question 59

Short Answer

Evaluate the integral to six decimal places.
$$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } } { \sqrt { 64 - x ^ { 2 } } } d x$$

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Definitions:

Contribution Margin

The amount remaining from sales revenue after variable expenses have been deducted, indicating how much revenue is available to cover fixed expenses and to contribute to profit.

Variable Administrative Expenses

Costs that vary in proportion to changes in an organization's activity level, such as sales commissions.

Sunk Cost

A cost that has already been incurred and cannot be recovered, and hence should not influence future business decisions.

Sunk Cost

Costs that have already been incurred and cannot be recovered or reversed.