MathDB
Today's calculation of Integral 556

Source: created by kunny

February 15, 2010
calculusintegrationtrigonometryfunctioninequalitiescalculus computations

Problem Statement

Prove the following inequality. ∫0π4xcos⁡2xcos⁡2(tan⁡x)cos⁡2(tan⁡(tan⁡x))cos⁡2(tan⁡(tan⁡(tan⁡x)))dx3<4π \sqrt[3]{\int_0^{\frac {\pi}{4}} \frac {x}{\cos ^ 2 x\cos ^ 2 (\tan x)\cos ^ 2(\tan (\tan x))\cos ^ 2(\tan (\tan (\tan x)))}dx}<\frac{4}{\pi} Last Edited. Sorry, I have changed the problem. kunny
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