Question: Prove or disprove that the integral of the average value equals the integral of the function on the interval Where f is the average value

Prove or disprove that the integral of the average value equals the integral of the function on the interval

Prove or disprove that the integral of the average value
Prove or disprove that the integral of the average value

Where f is the average value of the function f is the average value of the function f over the interval [a, b]

dx = (x) dx,

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