Why is arc length of a function [tex]f(x)[/tex] from a to b defined as [tex]\int_a^b \sqrt{1+(f'(x))^2} dx[/tex]?(adsbygoogle = window.adsbygoogle || []).push({});

Where they get the idea of squaring the derivative, adding 1, taking the square root, and then integrating it is beyond me.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Arc Length Confusion

Loading...

Similar Threads - Length Confusion | Date |
---|---|

B Confusion between ##\theta## and ##d\theta## | Jan 14, 2017 |

B Length of the graph of e^x | Nov 5, 2016 |

I What is the purpose of Arc-Length Parameterization? | Sep 18, 2016 |

Arc length in polar coordinates | Feb 10, 2016 |

Arc length | Mar 14, 2015 |

**Physics Forums - The Fusion of Science and Community**