Today's calculation of Integral 523
Source: created by kunny Inspired by kelvin 911's post
December 31, 2009
calculusintegrationlogarithmscalculus computations
Problem Statement
Prove the following inequality.
\ln \frac {\sqrt {2009} \plus{} \sqrt {2010}}{\sqrt {2008} \plus{} \sqrt {2009}} < \int_{\sqrt {2008}}^{\sqrt {2009}} \frac {\sqrt {1 \minus{} e^{ \minus{} x^2}}}{x}\ dx < \sqrt {2009} \minus{} \sqrt {2008}