Question Number 174576 by othman last updated on 04/Aug/22 Answered by Ar Brandon last updated on 04/Aug/22 $${t}={w}^{\mathrm{2}} −\mathrm{4}\:\Rightarrow{dt}=\mathrm{2}{wdw} \\ $$$$\mathrm{2}\int_{−\mathrm{3}} ^{\mathrm{0}} \frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{{t}}}{dt}=\mathrm{3}\left[{t}^{\mathrm{2}/\mathrm{3}} \right]_{−\mathrm{3}} ^{\mathrm{0}}…
Question Number 174578 by otchereabdullai@gmail.com last updated on 04/Aug/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 109022 by mathdave last updated on 20/Aug/20 Answered by Dwaipayan Shikari last updated on 20/Aug/20 $$\int_{\mathrm{0}} ^{\infty} \frac{{x}+\mathrm{1}}{\left(\mathrm{1}+{x}\right)^{\mathrm{3}} }−\frac{\mathrm{1}}{\left(\mathrm{1}+{x}\right)^{\mathrm{3}} }{dx} \\ $$$$−\left[\frac{\mathrm{1}}{\mathrm{1}+{x}}\right]_{\mathrm{0}} ^{\infty}…
Question Number 109018 by mathdave last updated on 20/Aug/20 Answered by Aziztisffola last updated on 20/Aug/20 $$\:\mathrm{ln}\left(\mathrm{x}^{\mathrm{4}} \right)+\mathrm{ln}\left(\mathrm{4x}\right)=\mathrm{2}+\mathrm{ln}\left(\mathrm{x}^{\mathrm{3}} \right) \\ $$$$\:\mathrm{4ln}\left(\mathrm{x}\right)+\mathrm{ln}\left(\mathrm{x}\right)+\mathrm{ln}\left(\mathrm{4}\right)=\mathrm{2}+\mathrm{3ln}\left(\mathrm{x}\right) \\ $$$$\:\mathrm{5ln}\left(\mathrm{x}\right)+\mathrm{2ln}\left(\mathrm{2}\right)=\mathrm{2}+\mathrm{3ln}\left(\mathrm{x}\right) \\ $$$$\:\mathrm{2ln}\left(\mathrm{x}\right)=\mathrm{2}−\mathrm{2ln}\left(\mathrm{2}\right)…
Question Number 109016 by mathdave last updated on 20/Aug/20 Answered by Dwaipayan Shikari last updated on 20/Aug/20 $$\int\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{sinx}}}{dx} \\ $$$$\int\frac{\mathrm{1}}{{cos}\frac{{x}}{\mathrm{2}}−{sin}\frac{{x}}{\mathrm{2}}}{dx} \\ $$$$\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\int\frac{\mathrm{1}}{{cos}\left(\frac{{x}}{\mathrm{2}}+\frac{\pi}{\mathrm{4}}\right)}{dx} \\ $$$$\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\int{sec}\left(\frac{{x}}{\mathrm{2}}+\frac{\pi}{\mathrm{4}}\right){dx} \\…
Question Number 109017 by mathdave last updated on 20/Aug/20 Answered by mathmax by abdo last updated on 20/Aug/20 $$\mathrm{I}\:=\int_{\mathrm{arctan}\left(\mathrm{1}\right)} ^{\mathrm{arctan}\left(\sqrt{\mathrm{2}}\right)} \sqrt{\frac{\mathrm{8}}{\mathrm{1}−\mathrm{sin}\left(\mathrm{4x}\right)}}\mathrm{dx}\:\Rightarrow\mathrm{I}\:=\int_{\mathrm{arctan}\left(\mathrm{1}\right)} ^{\mathrm{arctan}\left(\sqrt{\mathrm{2}}\right)} \sqrt{\frac{\mathrm{8}}{\mathrm{1}−\mathrm{cos}\left(\frac{\pi}{\mathrm{2}}−\mathrm{4x}\right)}}\mathrm{dx} \\ $$$$=\int_{\mathrm{arctan}\left(\mathrm{1}\right)}…
Question Number 43452 by mondodotto@gmail.com last updated on 10/Sep/18 $$\mathrm{prove}\:\mathrm{that} \\ $$$$\boldsymbol{\mathrm{tanh}{x}}=\boldsymbol{{i}\mathrm{tan}{x}} \\ $$ Answered by alex041103 last updated on 10/Sep/18 $$\mathrm{tanh}\:{x}\:=\:\frac{{e}^{{x}} −{e}^{−{x}} }{{e}^{{x}} +{e}^{−{x}}…
Question Number 43454 by mondodotto@gmail.com last updated on 10/Sep/18 $$\mathrm{qn}:\:\mathrm{There}\:\mathrm{is}\:\mathrm{a}\:\mathrm{group}\:\mathrm{of}\:\mathrm{50}\:\mathrm{people} \\ $$$$\mathrm{who}\:\mathrm{are}\:\mathrm{patriotic}\:\mathrm{out}\:\mathrm{of}\:\mathrm{which}\:\mathrm{20} \\ $$$$\mathrm{believes}\:\mathrm{in}\:\mathrm{non}\:\mathrm{violence}.\:\mathrm{Two}\:\mathrm{persons} \\ $$$$\mathrm{are}\:\mathrm{selected}\:\mathrm{at}\:\mathrm{rondom}\:\mathrm{out}\:\mathrm{of}\:\mathrm{them}. \\ $$$$\mathrm{write}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{distribution}\:\mathrm{for}\:\mathrm{the} \\ $$$$\mathrm{selected}\:\mathrm{persons}\:\mathrm{who}\:\mathrm{are}\:\mathrm{non}\:\mathrm{violent}. \\ $$$$\mathrm{also}\:\mathrm{find}\:\mathrm{the}\:\mathrm{mean}\:\mathrm{of}\:\mathrm{the}\:\mathrm{distribution}. \\ $$$$\mathrm{explain}\:\mathrm{the}\:\mathrm{importance}\:\mathrm{of}\:\mathrm{non}\:\mathrm{violence}\:\mathrm{in}\:\mathrm{patriotism}. \\…
Question Number 174519 by Ml last updated on 03/Aug/22 Commented by Michaelfaraday last updated on 17/Aug/22 $${please}\:{can}\:{you}\:{show}\:{the}\:{so}<{ution}\:{of} \\ $$$${your}\:{answer}. \\ $$ Commented by Rasheed.Sindhi last…
Question Number 174508 by Gbenga last updated on 03/Aug/22 $$ \\ $$$$\mathscr{L}\left(\boldsymbol{\mathrm{sin}}^{\boldsymbol{\mathrm{n}}} \left(\boldsymbol{\mathrm{x}}\right)\right)=? \\ $$ Answered by Mathspace last updated on 03/Aug/22 $${sin}^{{n}} {x}=\left(\frac{{e}^{{ix}} −{e}^{−{ix}}…