14. Based on the definition, the integral J x dx. Choose an option below and explain why. - 0o a. Is divergent b. Is divergent to co C. Is convergent to d. Evaluates to co e. Equal to 0 21. Find the smallest integer n that guarantees that the Simpson's rule approximation to S 1 dx is accurate to within 10". n = ? 28. Suppose f"(x) > 0 for all x in [a,b]. Let In and Mn be, respectively, the trapezoidal and midpoint approximates of I = f(x) dx. Select all the correct options. a In and I cannot be compared (it depends on f) In and Mn cannot be compared (it depends on f) Mn and I cannot be compared (it depends on f) Mn