Definition.
Let f be a function such that the derivative f' is continuous
on the closed interval [a, b]. The arc
length of f from x = a to x = b is the integral
Using the TI-85 graphing calculator to evaluate arc length.
Discussion [Using Flash]
[Using Java]
Definition.
Let x = g(y) be a function such that the derivative g' is continuous on the closed interval [c, d]. The arc
length of g from y = c to y = d is the integral
Definition.
Let x = h(t) and y = g(t) be parametric functions such that the
derivatives h' and g' are continuous
on the closed interval [r, s]. The arc
length of the graph of this system of parametric functions from t = r to t = s is the integral
Using the TI-85 graphing calculator to
evaluate the arc length of a curve defined by a system of parametric equations.
Discussion [Using Flash]
[Using Java]