MathDB
Today's calculation of Integral 893

Source: 2013 Ochanomizu University entrance exam/Science

October 5, 2013
calculusintegrationtrigonometryfunctionlogarithmsderivativecalculus computations

Problem Statement

Find the minimum value of f(x)=0π4tantxdt.f(x)=\int_0^{\frac{\pi}{4}} |\tan t-x|dt.