Consider a function f(x) = Inx which is continuous on interval [1, 3]. Use this function to answer the following two problems: Problem # A: Use composite Newton-Cotes formula to answer the following:...

Extracted text: Consider a function f(x) = Inx which is continuous on interval [1, 3]. Use this function to answer the following two problems: Problem # A: Use composite Newton-Cotes formula to answer the following: 1. find the numerical integration for m = 3 2. Also compare the error you found with the actual integral Problem # B: Use closed Newton-Cotes rule for n = 2 and answer the following questions: 1. Find the step size h and the nodal the points 2. Find the Lagrange bases and the weight functions 3. Find the numerical integral 4. Finally, compute the actual relative error for the numerical integral