(a) Write and submit a Matlab function implementing Romberg integration to within a specified error tolerance (b) Use the function you wrote to estimate the integral of f(x)e from a-1 to b 2, with an absolute error tolerance of 10-9. Is your answer accurate to within this tolerance? What was the maximum value ofi reached? function - romberg(, a. b, tol) %Estimate the integral of a function f between a and b using Romberg integration. Attempt to supply an answer with estimated absolute error no more than tol. For example, romberg ( (x) x .*3, 1, 2, 1E-6) should return 3.75