This problem is related to Numerical Methods course. Please slove this problem in handwritten and solve this as soon as possible. Please don't copy from internet.

"Given f(1) = -1, f(2) = 9, f(3) = 31 and f(4) = 71, show how to use repeated application of Trapezoidal rule on each sub-interval defined by the points, to compute the integration of f(x) over the interval [1 , 4]. Write down the polynomial used by the method to approximate the function in each interval."