MathDB
Today's calculation of Integral 332

Source: 1970 Rikkyo University entrance exam/Science

June 2, 2008
calculusintegrationfunctioncalculus computations

Problem Statement

Let f(x) f(x) be a function such that 1\minus{}f(x)\equal{}f(1\minus{}x) for 0≤x≤1 0\leq x\leq 1. Evaluate ∫01f(x) dx \int_0^1 f(x)\ dx.
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