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Today's calculation of Integral 389

Source: 1985 Osaka City University entrance exam

November 13, 2008
calculusintegrationderivativecalculus computations

Problem Statement

Find the values of t[0, 2] t\in{[0,\ 2]} for which \int_{t\minus{}3}^{2t} 2^{x^2}\ dx is maximal and minimal.