Today's calculation of Integral 593
Source:
April 22, 2010
calculusintegrationtrigonometryfunctioncalculus computations
Problem Statement
For a positive integer , 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