If is continuous and satisfies for every in

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

If f(x)f(x) is continuous and satisfies f(x)<0f(x)<0 for every xx in (2,5)(2,5), and F(x)=∫1xf(t) dtF(x)=\int_{1}^{x} f(t)\,dt, what can you conclude about FF on the interval (2,5)(2,5)?

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