Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Length of Curves
License:
Creative Commons Attribution Non-Commercial
Language:
English
Media Formats:
eBook, Interactive

Education Standards (1)

Length of curves module

Overview

After completing this section, students should be able to do the following.

  • Apply the procedure of “Slice, Approximate, Integrate” to derive a formula for the length of a curve segment.
  • Understand the connection between the Pythagorean Theorem and the length of curves.
  • Set up an integral or sum of integrals with respect to xx and yy that gives the length of a curve segment.
  • Evaluate integrals that involve square roots.

Length of curves

Ximera Module

We can use the procedure of ``Slice, Approximate, Integrate" to find the length of curves.