A continuous function is positive on the interval

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

Problem

A continuous function ff is positive on the interval [4,4+L][4, 4+L]. If ∫44+Lf(t) dt=18\int_{4}^{4+L} f(t)\,dt = 18 and the average value of ff over this interval is 33, find the value of LL.

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