Question Number 177775 by depressiveshrek last updated on 08/Oct/22 $$\int\frac{\mathrm{sin2}{x}}{\:\sqrt{\mathrm{cos}^{\mathrm{4}} {x}+\mathrm{1}}}{dx} \\ $$ Answered by Ar Brandon last updated on 08/Oct/22 $${I}=\int\frac{\mathrm{sin2}{x}}{\:\sqrt{\mathrm{cos}^{\mathrm{4}} {x}+\mathrm{1}}}{dx}=\int\frac{\mathrm{2sin}{x}\mathrm{cos}{x}}{\:\sqrt{\mathrm{cos}^{\mathrm{4}} {x}+\mathrm{1}}}{dx}\:,\:{c}=\mathrm{cos}{x} \\…
Question Number 46673 by Tawa1 last updated on 30/Oct/18 Commented by Smail last updated on 30/Oct/18 $$\alpha\:{is}\:{a}\:{constant}\:{you}\:{should}\:{not}\:{replace}\:{it}\:{with}\:{t}\mathrm{2}^{{x}} .\: \\ $$ Commented by Smail last updated…
Question Number 112206 by Eric002 last updated on 06/Sep/20 $$\int{ln}\left({sin}\left({x}\right)\right)\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 46667 by Necxx last updated on 29/Oct/18 $${integrate}\:\mathrm{ln}\:\left({cosx}+{sinx}\right){dx} \\ $$ Commented by maxmathsup by imad last updated on 29/Oct/18 $${let}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{{x}} {ln}\left({cost}\:+{sint}\right){dt}\:\:{we}\:{have} \\…
Question Number 46657 by Necxx last updated on 29/Oct/18 $${integrte}\:\mathrm{sin}^{−\mathrm{1}} {x} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 29/Oct/18 $$\int{sin}^{−\mathrm{1}} {x} \\ $$$${sin}^{−\mathrm{1}} {x}×\int{dx}−\int\left[\frac{{dsin}^{−\mathrm{1}}…
Question Number 112189 by M±th+et+s last updated on 06/Sep/20 $${prove}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{{cos}\left({x}\right)+{sinh}\left({x}\right)}{dx}=\mathrm{1}.\mathrm{4917}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 46641 by Tinkutara last updated on 29/Oct/18 Commented by tanmay.chaudhury50@gmail.com last updated on 29/Oct/18 $${question}\:{itself}\:\:{is}\:{doubtful}…{because} \\ $$$$\int\frac{{xdx}}{\:\sqrt{\mathrm{1}+\left({x}−\frac{\mathrm{1}}{{x}}\right)}}{dx}\:\leftarrow{it}\:{has}\:{no}\:{upper}\:{or}\:{lower}\:{limit} \\ $$ Terms of Service Privacy…
Question Number 46639 by Tinkutara last updated on 29/Oct/18 Commented by maxmathsup by imad last updated on 30/Oct/18 $${let}\:{A}\:=\int_{\mathrm{0}} ^{\pi} \:\:\frac{{sin}\left(\mathrm{2}{x}\right)}{{x}+\mathrm{1}}{dx}\:\:\:\Rightarrow{A}=_{\mathrm{2}{x}={t}} \:\:\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{sin}\left({t}\right)}{\frac{{t}}{\mathrm{2}}+\mathrm{1}}\:\frac{{dt}}{\mathrm{2}} \\…
Question Number 112169 by bemath last updated on 06/Sep/20 $$\:\int\:\mathrm{tan}\:^{\mathrm{3}} {x}\:\mathrm{sec}\:^{\mathrm{3}} {x}\:{dx}\:? \\ $$ Answered by Dwaipayan Shikari last updated on 06/Sep/20 $$\int{tanxsecx}\left({sec}^{\mathrm{2}} {x}\right){tan}^{\mathrm{2}} {x}\:{dx}…
Question Number 46624 by rahul 19 last updated on 29/Oct/18 $${The}\:{value}\:{of}\:{k}\:{which}\:{minimizes} \\ $$$${F}\left({k}\right)=\:\int_{\mathrm{0}} ^{\mathrm{4}} \mid{x}\left(\mathrm{4}−{x}\right)−{k}\mid{dx}\:=\:? \\ $$ Commented by rahul 19 last updated on 29/Oct/18…