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Today's Calculation of Integral 73

Source: 1994 Kyusyu University

July 22, 2005
calculusintegrationtrigonometryvectorfunctionderivativecalculus computations

Problem Statement

Find the minimum value of ∫0π(asin⁡x+bsin⁡2x+csin⁡3x−x)2 dx\int_0^{\pi} (a\sin x+b\sin 2x+c\sin 3x-x)^2\ dx
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