Calculus
Advanced

Arc Length

Length of a curve between two points.

Formula

L=∫ab1+[f′(x)]2 dxL = \int_a^b \sqrt{1 + [f'(x)]^2}\,dx

Variables

f'Derivative
a,bBounds

Example

Measures curve distance

Did You Know?

Arc-length integrals can be deceptively hard: even the simple parabola has no elementary arc-length formula.

integral