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

    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.