Category:Definitions/Arc Length

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This category contains definitions related to Arc Length.
Related results can be found in Category:Arc Length.


Let $y = \map f x$ be a real function which is:

continuous on the closed interval $\closedint a b$

and:

continuously differentiable on the open interval $\openint a b$.


The arc length $s$ of $f$ between $a$ and $b$ is defined as:

$\ds s := \int_a^b \sqrt {1 + \paren {\frac {\d y} {\d x} }^2} \rd x$

Subcategories

This category has the following 4 subcategories, out of 4 total.

Pages in category "Definitions/Arc Length"

The following 5 pages are in this category, out of 5 total.