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

---

Definitions:

Amino Acids

Organic compounds containing an amino group and a carboxylic acid group, serving as the building blocks of proteins, involved in various biological processes.

Primary Structure

The sequence of amino acids in a protein, which determines its three-dimensional shape and function.

Denaturation

The process by which a protein loses its three-dimensional structure and biological activity due to external stress or conditions, such as heat or acidic pH.

Three-Dimensional

Having or appearing to have length, breadth, and depth.