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Today's calculation of Integral 116

Source: Toyama University entrance exam 1976

July 7, 2006
calculusintegrationlimittrigonometryfunctioncalculus computations

Problem Statement

Find lim⁡t→0∫02π∣sin⁡(x+t)−sin⁡x∣ dx∣t∣.\lim_{t\rightarrow 0}\int_{0}^{2\pi}\frac{|\sin (x+t)-\sin x|\ dx}{|t|}.
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