Let f(x) be a function which is continuous for all x. Let L100, R100 and M100 be the Riemann sums using 100 subintervals with left, right and middle sample points, respectively, for f on the interval [0, 10]. Which of the following statements is FALSE? If f is increasing on [0, 10], then L100 ≤ R100. 10 O The definite integral f¹⁰ f(x)dæ exists (i.e. ƒ is Riemann integrable on [0, 10]). All three sums L 100, R100, M100 exist. If f is decreasing on [0, 10], then L100 ≥ R100 If f is increasing on [0, 5) and decreasing on (5, 10] then L100 = R100.

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