In Exercises approximate the arc length of the graph of the function over the interval [0, 4] in four ways. 

(a) Use the Distance Formula to find the distance
between the endpoints of the arc. 

(b) Use the Distance Formula
to find the lengths of the four line segments connecting the
points on the arc when x = 0, x = 1, x = 2, x = 3, and x = 4.
Find the sum of the four lengths. 

(c) Use Simpson's Rule with
n = 10 to approximate the integral yielding the indicated arc
length. 

(d) Use the integration capabilities of a graphing utility
to approximate the integral yielding the indicated arc length.

Transcribed Image Text:

f(x) = x³