mathimatikoi.org • \( \int_{0}^{\infty}{e^{-x}\ln\bigl({\ln\bigl({e^x+\sqrt{e^{2x}-1}\,}\bigr)}\bigr) \;dx}\)

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\( \int_{0}^{\infty}{e^{-x}\ln\bigl({\ln\bigl({e^x+\sqrt{e^{2x}-1}\,}\bigr)}\bigr) \;dx}\)

Posted: Fri Jul 08, 2016 3:51 pm

by Tolaso J Kos

Evaluate the following integral :

$$ \displaystyle\int_{0}^{\infty}{e^{-x}\ln\bigl({\ln\bigl({e^x+\sqrt{e^{2x}-1}\,}\bigr)}\bigr) \;{\rm d}x}$$

Re: \( \int_{0}^{\infty}{e^{-x}\ln\bigl({\ln\bigl({e^x+\sqrt{e^{2x}-1}\,}\bigr)}\bigr) \;dx}\)

Posted: Sun Sep 04, 2016 4:10 pm

by whitexlotus

Tolaso J Kos wrote:Evaluate the following integral :

$$ \displaystyle\int_{0}^{\infty}{e^{-x}\ln\bigl({\ln\bigl({e^x+\sqrt{e^{2x}-1}\,}\bigr)}\bigr) \;{\rm d}x}$$

Here http://mathimatikoi.org/forum/viewtopic ... 2161#p2161" onclick="window.open(this.href);return false;
Regards