Question: Consider a continuous function f(x) defined on the closed interval [a, b], where a < b. Prove that if f(x) is integrable on [a,

Consider a continuous function f(x) defined on the closed interval [a, b],

Consider a continuous function f(x) defined on the closed interval [a, b], where a < b. Prove that if f(x) is integrable on [a, b] and f(x) is non-negative for all x in [a, b], then the definite integral of f(x) from a to b is greater than or equal to zero.

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