For a differentiable function

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

Problem

For a differentiable function ff, let g(x)=∫0xf(t) dtg(x) = \int_{0}^{x} f(t)\,dt. If g(6)=15g(6)=15, determine the average value of ff on the interval [0,6][0,6].

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