Use the provided Simpson's 3/8 integration template to calculate the integral: 3 I = [ sin(4x)e2*dx 0. The relative error is defined by ct I E = ct Calculate the integral with the relative error e less than 10-. Enter your answer below with precision of 10 digits after the decimal point: I = What is the minumum number of terms (n) required to achieve such accuracy? Enter your answer below: = U Hint 1: you may use matlab function vpa() to display the result with a desired accuracy Hint 2: note, that Simpson's 3/8 rule requiresn to be a multiple of 3.