224

Part of 2007 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 224

Source: University of Hyogo entrance exam/Commercial Science 1966

Let f(x)\equal{}x^{2}\plus{}|x|. Prove that \int_{0}^{\pi}f(\cos x)\ dx\equal{}2\int_{0}^{\frac{\pi}{2}}f(\sin x)\ dx.

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