Let a, b E R, a...

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Let a, b E R, a <b. Let n € Z+. Let P = (xi) be any partition of [a, b]. Let f(x) = arctan(x). Prove that the Darboux lower sum L(f, P) is strictly less than the Darboux upper sum U(f, P). Let a, b E R, a <b. Let n € Z+. Let P = (xi) be any partition of [a, b]. Let f(x) = arctan(x). Prove that the Darboux lower sum L(f, P) is strictly less than the Darboux upper sum U(f, P).

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lets define the Darboux lower sum and upper sum of f ... View the full answer