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232

Part of 2007 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 232

Source: Tokyo University entrance exam/Science 1995

10/9/2007
For f(x)\equal{}1\minus{}\sin x, let g(x)\equal{}\int_0^x (x\minus{}t)f(t)\ dt. Show that g(x\plus{}y)\plus{}g(x\minus{}y)\geq 2g(x) for any real numbers x, y. x,\ y.
calculusintegrationtrigonometryinequalitiescalculus computations