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593

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 593

Source:

4/22/2010
For a positive integer mm, prove the following ineqaulity.
0\leq \int_0^1 \left(x+1-\sqrt{x^2+2x\cos \frac{2\pi}{2m+1}+1\right)dx\leq 1.}
1996 Osaka University entrance exam
calculusintegrationtrigonometryfunctioncalculus computations