use python

Problem 3. It is reported that Lord Kelvin (of thermodynamic fame) wrote the following equality on the board e-ra dx = 1/2 J-00 and then quipped "a mathematician is one to whom that is as obvious as that twice two makes four is to you." Use the same Romberg integrator you implemented for the previous problem to eval- uate this integral. Once again, evaluate your answer for accuracy. How does the result change with changes in the limits of integration? Is there a symmetry in the integral which you can exploit