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…
Question Number 46612 by maxmathsup by imad last updated on 29/Oct/18 $$\left.\mathrm{1}\right)\:{calculate}\:{I}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:{x}^{{n}} \:{e}^{\left(\mathrm{1}−{i}\right){x}} {dx}\:{with}\:{n}\:{integr}\:{natural}\:{and}\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{find}\:\int_{\mathrm{0}} ^{\infty} \:{x}^{\mathrm{4}{k}+\mathrm{3}} \:{xsinx}\:{dx}\:. \\ $$…
Question Number 46604 by rahul 19 last updated on 29/Oct/18 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{x}\mathrm{cos}\:{x}−\mathrm{sin}\:{x}}{{x}^{\mathrm{2}} +\mathrm{sin}\:{x}}\:{dx}\:=\:? \\ $$ Commented by rahul 19 last updated on 31/Oct/18 $$??????…
Question Number 46594 by maxmathsup by imad last updated on 29/Oct/18 $${find}\:\int\:\left(\sqrt{{x}+\sqrt{{x}}}−\sqrt{{x}−\sqrt{{x}}}\right){dx} \\ $$ Answered by MJS last updated on 29/Oct/18 $$\int\sqrt{{x}+\sqrt{{x}}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\sqrt{{x}}\:\rightarrow\:{dx}=\mathrm{2}\sqrt{{x}}{dt}\right] \\…
Question Number 112119 by mnjuly1970 last updated on 06/Sep/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:….{calculus}…. \\ $$$${prove}\:{that}::: \\ $$$${if}\:\:\:\Omega\:=\int_{\mathrm{0}\:\:} ^{\:\mathrm{1}} {ln}\left({ln}\left(\mathrm{1}−\sqrt{{x}}\:\right)\right){dx} \\ $$$${then} \\ $$$$\mathscr{R}{e}\left(\Omega\right)\::=\:−\gamma\:+\:{ln}\left(\mathrm{2}\right)…. \\ $$$$ \\ $$$${m}.{n}.\:{july}\:\mathrm{1970}# \\…