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Today's calculation of Integral 838

Source: 2012 Toyama University entrance exam/Medicine, Pharmacy

July 9, 2012
calculusintegrationinequalitiescalculus computations

Problem Statement

Prove that : e1e<01ex2dx<π4.\frac{e-1}{e}<\int_0^1 e^{-x^2}dx<\frac{\pi}{4}.