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3. Define the functions g,. (2) n +1 on the set [0, 1]. 0 else Then consider the function /(x) = > g.(x) defined on

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3. Define the functions g,. (2) n +1 on the set [0, 1]. 0 else Then consider the function /(x) = > g.(x) defined on [0, 1]. 71=1 8' 3' (a) Using the partition P = 10. =, -, 1} find the upper and lower Darboux sums for J. (b) Prove or disprove that f is integrable on the interval [0, 1]

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