MathDB
Today's calculation of Integral 311

Source: created by kunny

March 30, 2008
calculusintegrationlogarithmscalculus computations

Problem Statement

Prove the following inequality. \int_0^1 2008^{x^{2008}}\ dx\geq \left(1\minus{}\frac{1}{2008^{2008}}\right)\frac{1}{\ln 2008}.