Find the Length of the Curve for the Interval $1 \leq x \leq 4$

question 6

Short Answer

Find the length of the curve for the interval $1 \leq x \leq 4$ .
$$y = \int _ { 1 } ^ { x } \sqrt { t ^ { 8 } - 1 } d t$$

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Definitions:

Normative

Relating to prescriptive or value-based judgments, indicating what should be rather than what is.

Oil Imports

The purchase of foreign-sourced oil for domestic use, reflecting a country's demand for energy resources not available within its own borders.

Normative Statement

An opinion-based statement that reflects values or judgments and cannot be tested or disproven by observation.

Positive

In the context of economic analysis, it often refers to a fact-based approach that attempts to describe how economic systems actually work without making judgments about their desirability.