Define for . Determine the value of in the interval at which attains its…

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

Problem

Define F(x)=∫0x(t−4) dtF(x)=\displaystyle\int_{0}^{x} (t-4)\,dt for 0≤x≤80\le x\le 8. Determine the value of xx in the interval [0,8][0,8] at which FF attains its minimum.

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