About the Arc Length Calculator
Finds the length of a curve using the arc length integral.
What it is
Choose explicit y=f(x) or parametric x(t), y(t) mode, enter an interval, and the calculator differentiates symbolically, builds the arc length integrand √(1+(f'(x))²) or √((x'(t))²+(y'(t))²), and evaluates it with Simpson's rule.
Features
Explicit & parametric modes
Handles y=f(x) curves and x(t), y(t) parametric paths.
Step-by-step setup
Derivative and integrand shown before the final number.
Numerical evaluation
Simpson's rule with 2000 subintervals for high accuracy.
Highlighted graph
The measured segment is drawn over the full curve.