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347

Part of 2008 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 347

Source: 2008 Ibaraki University entrance exam/Science

6/20/2008
For real positive numbers a a, find the minimum value of \int_0^{\pi} \left(\frac{x}{a}\plus{}a\sin x\right)^2 dx.
calculusintegrationtrigonometrycalculus computations