For integer k = 0 consider the integral 1(k) = />**coskxdx = sarunas 3.1 Write a function simpson_10) which takes 2 input arguments, k and N, and implements Simpson's rule to compute and return an approximation of I(k), partitioning the interval O, 21 into N sub-intervals of equal width [2 marks] 3.2 For k = 1, and for {10--In EN, 3<>**coskxdx = sarunas 3.1 Write a function simpson_10) which takes 2 input arguments, k and N, and implements Simpson's rule to compute and return an approximation of I(k), partitioning the interval O, 21 into N sub-intervals of equal width [2 marks] 3.2 For k = 1, and for {10--In EN, 3<>