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Today's calculation of Integral 173

Source: Waseda University entrance exam /1999

January 17, 2007
calculusintegrationfunctiontrigonometrycalculus computations

Problem Statement

Find the function f(x)f(x) such that f(x)=cos⁡(2mx)+∫0πf(t)∣cos⁡t∣ dtf(x)=\cos (2mx)+\int_{0}^{\pi}f(t)|\cos t|\ dt for positive inetger m.m.
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