Question: please show the proof! (5 points) Prove directly from definitions: if f is continuous on [a, b], (Vx E [a, b]) f(x) 2 0 and

please show the proof!

please show the proof! (5 points) Prove directly from definitions: if f

(5 points) Prove directly from definitions: if f is continuous on [a, b], (Vx E [a, b]) f(x) 2 0 and [ f(x)dx = 0, then (Vx E [a, b]) f (x) = 0

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