Let be defined by

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

Problem

Let gg be defined by g(x)=∫2xf(t) dtg(x)=\int_{2}^{x} f(t)\,dt, where ff is continuous on [2,5][2,5]. Explain what the quantity g(5)−g(2)3\frac{g(5)-g(2)}{3} represents in the context of the function ff.

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