Question Number 42506 by maxmathsup by imad last updated on 26/Aug/18 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{ln}\left({t}\right)}{\left(^{\mathrm{3}} \sqrt{{t}^{\mathrm{2}} }\right)\left(\mathrm{1}+{t}\right)}{dt}\:. \\ $$ Commented by maxmathsup by imad last updated…
Question Number 42504 by maxmathsup by imad last updated on 26/Aug/18 $${let}\:{x}>\mathrm{0}\:{prove}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{e}^{−{t}^{\mathrm{2}} } {ln}\left(\mathrm{1}+{xt}^{\mathrm{2}} \right)}{{t}^{\mathrm{2}} }\:{dt}\:=\pi\:\int_{\mathrm{0}} ^{\sqrt{{x}}} \:\:{e}^{\frac{\mathrm{1}}{{u}^{\mathrm{2}} }} \:\:{du}\:. \\…
Question Number 42505 by maxmathsup by imad last updated on 26/Aug/18 $${calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{ln}\left({t}\right)}{\left(\mathrm{1}+{t}\right)\sqrt{{t}}}\:{dt}\:. \\ $$ Commented by maxmathsup by imad last updated on 29/Aug/18…
Question Number 42503 by maxmathsup by imad last updated on 26/Aug/18 $${calculate}\:\:\int_{−\infty} ^{+\infty} \:\:\:\:\:\:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}} \:+{x}^{\mathrm{4}} } \\ $$ Commented by maxmathsup by imad last updated…
Question Number 42501 by maxmathsup by imad last updated on 26/Aug/18 $${calculate}\:{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{{cos}\left(\mathrm{4}{x}\right)}{{cosx}\:+{sinx}}\:\:{and}\:{J}\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{sin}\left(\mathrm{4}{x}\right)}{{cosx}\:+{sinx}}{dx} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 42502 by maxmathsup by imad last updated on 26/Aug/18 $${calculate}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{cos}\left({nx}\right)}{{cosx}\:+{sinx}}{dx}\:\:{with}\:{n}\:{from}\:{N} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 42500 by maxmathsup by imad last updated on 26/Aug/18 $${calculate}\:\:\:{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{{cos}\left(\mathrm{2}{x}\right)}{{cosx}\:+{sinx}}{dx}\:{and}\:{J}\:=\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{sin}\left(\mathrm{2}{x}\right)}{{cosx}\:+{sinx}}{dx} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 42490 by maxmathsup by imad last updated on 26/Aug/18 $${find}\:{L}\left({arctanx}\right)\:\:.{L}\:{means}\:{laplace}\:{transform}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 42488 by maxmathsup by imad last updated on 26/Aug/18 $${find}\:\:\int\:\:\:\left(\mathrm{1}+\frac{\mathrm{1}}{{t}^{\mathrm{2}} }\right){arctan}\left({t}−\frac{\mathrm{1}}{{t}}\right){dt}\:. \\ $$ Commented by maxmathsup by imad last updated on 27/Aug/18 $${by}\:{parts}\:{u}^{'}…
Question Number 42489 by maxmathsup by imad last updated on 26/Aug/18 $${calculate}\:{L}\:\left({sinxe}^{−{ax}} \right)\:\:\:{with}\:{a}>\mathrm{0}\:\:{L}\:{means}\:{laplace}\:{transform}\:. \\ $$ Commented by maxmathsup by imad last updated on 27/Aug/18 $${L}\left({sinx}\:{e}^{−{ax}}…