Question Number 130693 by mnjuly1970 last updated on 28/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:\:{calculus}… \\ $$$$\:\:\:{evaluate}\::: \\ $$$$\:\:\:\:\:\: =\int_{\mathrm{0}} ^{\:\infty} \frac{{sin}\left({x}\right)}{{e}^{{x}} −\mathrm{1}}\:{dx}\:=?? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:……………….. \\ $$ Answered by mnjuly1970…
Question Number 130684 by mathmax by abdo last updated on 28/Jan/21 $$\left.\mathrm{1}\right)\mathrm{calculate}\:\int\:\frac{\mathrm{dx}}{\left(\mathrm{x}−\mathrm{1}\right)\left(\mathrm{x}−\mathrm{2}\right)….\left(\mathrm{x}−\mathrm{n}\right)}\:\:\:\left(\:\mathrm{n}\:\mathrm{integr}\:\mathrm{natural}\right) \\ $$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{U}_{\mathrm{n}} =\int_{\mathrm{n}+\mathrm{1}} ^{\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}−\mathrm{1}\right)\left(\mathrm{x}−\mathrm{2}\right)….\left(\mathrm{x}−\mathrm{n}\right)} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 130678 by EDWIN88 last updated on 28/Jan/21 $$\:\int\:\frac{\mathrm{3}\sqrt{{x}}}{{x}−\mathrm{1}}\:{dx}\:?\: \\ $$ Answered by liberty last updated on 28/Jan/21 $$\mathrm{L}\:=\:\int\:\frac{\mathrm{3}\sqrt{\mathrm{x}}}{\mathrm{x}−\mathrm{1}}\:\mathrm{dx}\:;\:\left[\:\mathrm{x}=\mathrm{u}^{\mathrm{2}} \:\right] \\ $$$$\mathrm{L}=\mathrm{6}\int\:\frac{\mathrm{u}^{\mathrm{2}} }{\mathrm{u}^{\mathrm{2}} −\mathrm{1}}\:\mathrm{du}\:=\:\mathrm{6}\int\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{u}^{\mathrm{2}}…
Question Number 130676 by EDWIN88 last updated on 28/Jan/21 $$\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{ln}\:\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} \right)}{{x}}\:{dx}\:? \\ $$ Answered by mathmax by abdo last updated on 28/Jan/21 $$\mathrm{I}\:=\int_{\mathrm{0}}…
Question Number 65137 by Tony Lin last updated on 25/Jul/19 $$\int\frac{{dx}}{\left({x}−\mathrm{2}\right)^{\mathrm{3}} \left({x}+\mathrm{1}\right)^{\mathrm{2}} }=? \\ $$ Commented by mathmax by abdo last updated on 25/Jul/19 $${let}\:{I}\:=\int\:\:\:\frac{{dx}}{\left({x}−\mathrm{2}\right)^{\mathrm{3}}…
Question Number 65133 by turbo msup by abdo last updated on 25/Jul/19 $${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left({sint}\:+{xcost}\right){dt} \\ $$$${x}\:{real}. \\ $$ Commented by mathmax by abdo last…
Question Number 65131 by turbo msup by abdo last updated on 25/Jul/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{4}} −\mathrm{4}{i}\right)^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last…
Question Number 65132 by turbo msup by abdo last updated on 25/Jul/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{tarctan}\left(\mathrm{2}{t}\right)}{\mathrm{1}+{t}^{\mathrm{4}} }{dt} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65130 by turbo msup by abdo last updated on 25/Jul/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{x}^{\mathrm{2}} −\mathrm{3}}{\left({x}^{\mathrm{4}} +{x}^{\mathrm{2}} +\mathrm{2}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by…
Question Number 65129 by turbo msup by abdo last updated on 25/Jul/19 $${calculate}\:\int_{−\infty} ^{+\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last…