For on the interval

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

Problem

For f(x)=tan⁡−1(x)f(x)=\tan^{-1}(x) on the interval [0,1][0,1], find the value of cc in [0,1][0,1] such that f(c)f(c) equals the average value of ff over the interval. Give your answer to three decimal places.

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