Find the Length of the Curve $y = x ^ { 3 } , 1 \leq x \leq 3$

question 32

Essay

Find the length of the curve $y = x ^ { 3 } , 1 \leq x \leq 3$ using a graphing calculator to evaluate the integral

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Definitions:

Nylon

A durable synthetic polymer, primarily used in the production of fabrics, plastics, and fibers.

Rayon

A semi-synthetic fiber made from regenerated cellulose, used in a wide variety of textiles and clothing.

Carboxylic Acid

Organic acids characterized by the presence of at least one carboxyl group, playing significant roles in biochemistry and industry.

Amine End

The part of an amine molecule where the nitrogen atom is located, often involved in bonding due to its lone pair of electrons.