Question Number 158697 by amin96 last updated on 07/Nov/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left({ln}\left(\mathrm{1}−{x}\right)\right){dx}=? \\ $$ Answered by mnjuly1970 last updated on 08/Nov/21 $$\:\:\:\mathrm{1}−{x}=\:{u}\: \\ $$$$\:\:\:\:\:\:\Omega={Re}\left\{\int_{\mathrm{0}} ^{\:\mathrm{1}}…
Question Number 27621 by abdo imad last updated on 11/Jan/18 $${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\frac{{arctan}\left({x}+\frac{\mathrm{1}}{{x}}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 27619 by abdo imad last updated on 11/Jan/18 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{cos}\left(\mathrm{2}{x}\right)}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx}. \\ $$ Commented by abdo imad last updated on 12/Jan/18…
Question Number 27620 by abdo imad last updated on 11/Jan/18 $${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{x}^{\mathrm{2}} } }{\mathrm{3}+{x}^{\mathrm{2}} }{dx}\:. \\ $$ Commented by abdo imad last updated on…
Question Number 27616 by abdo imad last updated on 10/Jan/18 $${find}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{e}^{−\mathrm{2}{x}} {ln}\left(\mathrm{1}+{x}\right){dx}\:\:. \\ $$ Commented by abdo imad last updated on 15/Jan/18 $${let}\:{put}\:{I}=\:\int_{\mathrm{0}}…
Question Number 27615 by NECx last updated on 10/Jan/18 $$\int{x}^{\mathrm{5}/\mathrm{2}} \left(\mathrm{1}−{x}\right)^{\mathrm{3}/\mathrm{2}} {dx} \\ $$ Commented by abdo imad last updated on 11/Jan/18 $$\:{let}\:{do}\:{the}\:{changement}\:\:\:{x}\:={sin}^{\mathrm{2}} {t} \\…
Question Number 27613 by abdo imad last updated on 10/Jan/18 $${find}\:{the}\:{value}\:{of}\:\:\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−\left[{x}\right]\:−{x}} {dx}\:\:. \\ $$ Commented by abdo imad last updated on 12/Jan/18 $${I}_{{n}}…
Question Number 27614 by NECx last updated on 10/Jan/18 $$\int\frac{{cosx}}{\mathrm{2}−{cosx}}{dx} \\ $$ Commented by abdo imad last updated on 11/Jan/18 $$\int\frac{{cosx}}{\mathrm{2}−{cosx}}{dx}=\:−\int\frac{\mathrm{2}−{cosx}\:+\mathrm{2}}{\mathrm{2}−{cosx}}{dx}\:=\:−{x}\:+\mathrm{2}\int\:\frac{{dx}}{\mathrm{2}−{cox}}\:\:{but} \\ $$$${the}\:{ch}.\:{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}\:{give}\: \\ $$$$\int\frac{{dx}}{\mathrm{2}−{cosx}}=\:\int\:\frac{\frac{\mathrm{2}{dt}}{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 27612 by NECx last updated on 10/Jan/18 $$\int\frac{\mathrm{1}}{\mathrm{3}+{cos}^{\mathrm{2}} {x}}{dx} \\ $$ Answered by ajfour last updated on 11/Jan/18 $$=\int\frac{\mathrm{sec}\:^{\mathrm{2}} {xdx}}{\mathrm{3sec}\:^{\mathrm{2}} {x}+\mathrm{1}}=\int\frac{{d}\left(\mathrm{tan}\:{x}\right)}{\mathrm{4}+\mathrm{3tan}\:^{\mathrm{2}} {x}} \\…
Question Number 93144 by i jagooll last updated on 11/May/20 $$\int\:\frac{\mathrm{x}^{\mathrm{3}} −\mathrm{1}}{\mathrm{x}^{\mathrm{3}} +\mathrm{6x}^{\mathrm{2}} +\mathrm{10x}}\:\mathrm{dx}\: \\ $$ Answered by MJS last updated on 11/May/20 $$\frac{{x}^{\mathrm{3}} −\mathrm{1}}{{x}\left({x}^{\mathrm{2}}…