Today's calculation of Integral 592
Source:
April 12, 2010
calculusintegrationlogarithmstrigonometrycalculus computations
Problem Statement
Prove the following inequality.
\frac{\sqrt{2}}{4}\minus{}\frac 12\minus{}\frac 14\ln 2<\int_0^{\frac{\pi}{4}} \ln \cos x\ dx<\frac 38\pi\plus{}\frac 12\minus{}\ln \ (3\plus{}2\sqrt{2})