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Mathematics, 11.03.2020 23:05 stefaniethibodeaux

A function f on [a, b] is called a step function if there exists a partition P = {a = u0 < u1 < ··· < cm = b} of [a, b] such that f is constant on each interval (uj−1, uj ), say f(x) = cj for x in (uj−1, uj ). (a) Show that a step function f is integrable and evaluate " b a f.

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A function f on [a, b] is called a step function if there exists a partition P = {a = u0 < u1 <...

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