Approximate the arc length of the graph of the function over the interval [0, 8] in four ways. (Round your answers to three decimal places.)
f(x) = x^4
(a) Use the Distance Formula to find the lengths of the four line segments connecting the points on the arc when x = 0, x = 2, x = 4, x = 6, and x = 8. Find the sum of the four lengths.
(b) Use Simpson's Rule with n = 10 to approximate the integral yielding the indicated arc length.
f(x) = x^4
(a) Use the Distance Formula to find the lengths of the four line segments connecting the points on the arc when x = 0, x = 2, x = 4, x = 6, and x = 8. Find the sum of the four lengths.
(b) Use Simpson's Rule with n = 10 to approximate the integral yielding the indicated arc length.