Question Number 82579 by M±th+et£s last updated on 22/Feb/20 $${if}\:{y}={cos}\left({ln}\left({x}\right)\right)+{sin}\left({ln}\left({x}\right)\right) \\ $$$${show}\:{that} \\ $$$${y}''+{y}^{'} +{y}=\mathrm{0} \\ $$ Answered by mind is power last updated on…
Question Number 82577 by M±th+et£s last updated on 22/Feb/20 $$\int\frac{\mathrm{2}−\sqrt{{x}+\mathrm{3}}}{\mathrm{2}+\sqrt{{x}−\mathrm{3}}}\:{dx} \\ $$ Commented by mathmax by abdo last updated on 22/Feb/20 $${let}\:{I}\:=\int\frac{\mathrm{2}−\sqrt{{x}+\mathrm{3}}}{\mathrm{2}+\sqrt{{x}+\mathrm{3}}}{dx}\:{vhangement}\:\mathrm{2}+\sqrt{{x}+\mathrm{3}}={t}\:{give} \\ $$$$\sqrt{{x}+\mathrm{3}}={t}−\mathrm{2}\:\Rightarrow{x}+\mathrm{3}\:=\left({t}−\mathrm{2}\right)^{\mathrm{2}} \:={t}^{\mathrm{2}}…
Question Number 148109 by Opredador last updated on 25/Jul/21 $$\:\boldsymbol{\mathrm{x}}^{\sqrt{\mathrm{2}}} \:+\:\boldsymbol{\mathrm{x}}\:−\:\mathrm{3}\:=\:\mathrm{0} \\ $$$$\: \\ $$$$\:\boldsymbol{\mathrm{x}}\:\in\:\mathbb{R},\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 82574 by Power last updated on 22/Feb/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 82572 by jagoll last updated on 22/Feb/20 Commented by Tony Lin last updated on 22/Feb/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 82573 by Power last updated on 22/Feb/20 Commented by Tony Lin last updated on 22/Feb/20 $${let}\:{x}={asec}\theta,\:{dx}={asec}\theta{tan}\theta{d}\theta \\ $$$$\Rightarrow{sec}\theta=\frac{{x}}{{a}},\:{tan}\theta=\frac{\sqrt{{x}^{\mathrm{2}} −{a}^{\mathrm{2}} }}{{a}} \\ $$$${a}^{\mathrm{2}} \int{tan}^{\mathrm{2}}…
Question Number 148105 by abdurehime last updated on 25/Jul/21 Commented by abdurehime last updated on 25/Jul/21 $$\mathrm{help}\:\mathrm{me} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 82570 by jagoll last updated on 22/Feb/20 $${if}\:{f}\left({x}\right)\:=\:{f}\left({x}+\mathrm{1}\right)\:−\:{x}\: \\ $$$${find}\:{f}\left({x}\right)\: \\ $$ Commented by Tony Lin last updated on 22/Feb/20 $${f}\left({x}+\mathrm{1}\right)−{f}\left({x}\right)={x} \\ $$$$\Rightarrow{f}\left(\mathrm{0}\right)={f}\left(\mathrm{1}\right)…
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Question Number 17034 by arnabpapu550@gmail.com last updated on 30/Jun/17 $$\int_{\mathrm{0}} ^{\:\Pi} \frac{\mathrm{dx}}{\mathrm{3}+\mathrm{2sinx}+\mathrm{cosx}} \\ $$ Answered by Arnab Maiti last updated on 03/Jul/17 $$=\int_{\mathrm{0}} ^{\:\Pi} \frac{\mathrm{dx}}{\mathrm{3}+\mathrm{2}×\frac{\mathrm{2tan}\frac{\mathrm{x}}{\mathrm{2}}}{\mathrm{1}+\mathrm{tan}^{\mathrm{2}}…