Length of a curve: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
The length of a curve from point a to point b can be found using an integral of the first derivative of the equation: | The length of a curve from point a to point b can be found using an integral of the first derivative of the equation: | ||
first derivative f '(x) | equation = f(x) | ||
first derivative = f '(x) | |||
length = <font size = "+2"><span>∫</span></font>sqr(1+f '(x)<sup>2</sup>)dx | length = <font size = "+2"><span>∫</span></font>sqr(1+f '(x)<sup>2</sup>)dx | ||
Revision as of 17:34, 1 April 2021
The length of a curve from point a to point b can be found using an integral of the first derivative of the equation:
equation = f(x)
first derivative = f '(x)
length = ∫sqr(1+f '(x)2)dx