tanh-x-dx-

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Question Number 64994 by aliesam last updated on 23/Jul/19

$$\int\sqrt{{tanh}\left({x}\right)}\:{dx} \\ $$

Commented by zakaria elghaouti last updated on 24/Jul/19

Answered by zakaria elghaouti last updated on 24/Jul/19

Commented by AnjanDey last updated on 24/Jul/19

How can you tell that sech^2 (x)=1−tanh^2 (x)??? Everyone knows that sec^2 θ=1+tan^2 θ.I think it is a wrong answer.

$$\mathrm{How}\:\mathrm{can}\:\mathrm{you}\:\mathrm{tell}\:\mathrm{that}\:\mathrm{sec}{h}^{\mathrm{2}} \left({x}\right)=\mathrm{1}−\mathrm{tan}{h}^{\mathrm{2}} \left({x}\right)??? \\ $$$${Everyone}\:{knows}\:{that}\:\mathrm{sec}\:^{\mathrm{2}} \theta=\mathrm{1}+\mathrm{tan}\:^{\mathrm{2}} \theta.{I}\:{think}\:{it}\:{is}\:{a}\:{wrong}\:{answer}. \\ $$

Commented by Rio Michael last updated on 24/Jul/19

your right , i think thesame thing sech^2 (x) = 1 + tanh^2 (x) let him explain

$${your}\:{right}\:,\:{i}\:{think}\:{thesame}\:{thing} \\ $$$${sech}^{\mathrm{2}} \left({x}\right)\:=\:\mathrm{1}\:+\:{tanh}^{\mathrm{2}} \left({x}\right) \\ $$$${let}\:{him}\:{explain} \\ $$

Commented by Tanmay chaudhury last updated on 24/Jul/19