Determine Whether the Improper Integral Converges or Diverges, and If $$\int _ { - 27 } ^ { 8 } \frac { 1 } { \sqrt [ 3 ] { x } } d x$$

question 88

Short Answer

Determine whether the improper integral converges or diverges, and if it converges, find its value.
$$\int _ { - 27 } ^ { 8 } \frac { 1 } { \sqrt [ 3 ] { x } } d x$$

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Definitions:

Days' Sales in Inventory

A financial metric calculating the average number of days a company holds inventory before selling it, reflecting inventory management efficiency.

Dividend Yield

The financial ratio that shows how much a company pays out in dividends each year relative to its stock price.

Total Asset Turnover

A financial ratio that measures a company’s ability to generate sales from its assets by comparing net sales with average total assets.

Inventory Turnover

A ratio showing how many times a company has sold and replaced inventory over a certain period of time, indicating the efficiency of inventory management.