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Today's calculation of Integral 789

Source: 2012 Waseda University entrance exam/Commerce

February 22, 2012
calculusintegrationfunctioncalculus computations

Problem Statement

Find the non-constant function f(x)f(x) such that f(x)=x2−∫01(f(t)+x)2dt.f(x)=x^2-\int_0^1 (f(t)+x)^2dt.
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