On the interval

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

On the interval [2,6][2,6], a differentiable function FF satisfies F′(x)=f(x)F'(x)=f(x) with f(x)≥1f(x)\ge 1 for every xx in that interval and F(2)=7F(2)=7. State the inequality that relates F(6)F(6) to 77.

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