Let . (i) Find the average value of over the interval . (ii) Interpret the numerical…

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

Problem

Let f(x)=3x2+2x−1f(x)=3x^{2}+2x-1. (i) Find the average value of f(x)f(x) over the interval [1,4][1,4]. (ii) Interpret the numerical answer obtained in part (i) in two sentences: what does it say about the overall behaviour of ff on [1,4][1,4]?

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