1. Marina needs to compute the integral J sin(x2) dx to determine a certain setting for a piece of equipment in an experiment. She knows that sin(x2) has no nice anti-derivative, so she's going to use a numerical method to find the approximate value of the integral, but she has to be sure that the numerical value she computes is within #10- of the actual value to make sure that the setting is accurate. Help Marina figure out how many data points she'll need in the following steps. (a) Find the second derivatives of f(x) = sin(x2). (b) Explain very briefly how you can tell that If"(x) |