Today's calculation of Integral 224
Source: University of Hyogo entrance exam/Commercial Science 1966
August 29, 2007
calculusintegrationtrigonometrycalculus computations
Problem Statement
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.