Calculates the length of y=2x^2 over the range x=5mm to x=10mm using calculus.

import sympy from sympy import * x = Symbol('x') formula = 2 * x**2 x_minimum = 5.0 x_maximum = 10.0 d = diff(formula, x) i = integrate(sqrt(1 + d**2), (x, x_minimum, x_maximum)) length = i.evalf() print 'Length of curve over x=%.3f to x=%.3f is %.3f mm' % (x_minimum, x_maximum, length)