Code the following problem in python:

You can evaluate the integral by directly substituting y=f(x), and it's derivative, into the integral equations.

oblems P8.2.1 The area of the surface of revolution about the x-axis between a and function y f) is given by the integral b of the S y ds, where ds-1dx. dx Use this equation to write a function to determine the surface area of revolution of a function y f(x) about the x-axis, given Python function objects that return y and dy/dr, and test it for the paraboloid obtained by rotation of the function f(x) Vx about the x-axis between a 0 and b = I. Compare with the exact result, ? (53/2-1)/6