Suppose is continuous and non-negative on the closed interval

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

Problem

Suppose ff is continuous and non-negative on the closed interval [2,5][2,5]. A function FF satisfies F′(x)=f(x)F'(x)=f(x) and F(2)=7F(2)=7. Without evaluating an integral, state whether F(5)F(5) is greater than, less than, or equal to 7, and briefly justify your conclusion.

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