Difference between revisions of "Length of a curve"
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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
