Question Number 170590 by rs4089 last updated on 27/May/22 Commented by rs4089 last updated on 27/May/22 $${solve}\:{this}\:{or}\:{express}\:{in}\:{series}\:{of}\: \\ $$$${bernloullis}\:{numbers} \\ $$ Terms of Service Privacy…
Question Number 170580 by mnjuly1970 last updated on 27/May/22 $$ \\ $$$$\:\:\:{calculate} \\ $$$$\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\:\mathrm{F}_{{n}} }{{n}.\mathrm{3}^{\:{n}} }\:=\:?\:\:\: \\ $$$$ \\ $$ Answered by Mathspace…
Question Number 170578 by mnjuly1970 last updated on 27/May/22 $$ \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \sqrt{{x}}\:{sin}^{\:−\mathrm{1}} \left(\:{x}\:\right){dx}\:=\:? \\ $$$$ \\ $$ Answered by Mathspace last updated on…
Question Number 39483 by math khazana by abdo last updated on 06/Jul/18 $${find}\:{f}\left({t}\right)=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{ln}\left(\mathrm{1}+{xt}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\:. \\ $$ Commented by math khazana by abdo last…
Question Number 170549 by mathlove last updated on 26/May/22 $$\int_{\mathrm{0}} ^{\mathrm{1}} {xarctan}^{\mathrm{6}} {x}\:{dx}=? \\ $$ Answered by Mathspace last updated on 26/May/22 $${by}\:\rho{arts}\:\:{I}=\left[\frac{{x}^{\mathrm{2}} }{\mathrm{2}}{arctan}^{\mathrm{6}} {x}\right]_{\mathrm{0}}…
Question Number 39477 by malwaan last updated on 06/Jul/18 $$\int\mathrm{2}^{\mathrm{x}} \mathrm{3}^{\mathrm{2x}} \mathrm{dx}=? \\ $$ Commented by abdo mathsup 649 cc last updated on 07/Jul/18 $${I}\:=\:\int\:\left(\sqrt{\mathrm{2}}\right)^{\mathrm{2}{x}}…
Question Number 170545 by kndramaths last updated on 26/May/22 $$\:\:\:\:{please}\:{help}\:{me}\:{to}\:{find}\:{this}. \\ $$$$\:\:\:{a}=\:\int\int_{{D}} \frac{{ydxdy}}{{a}^{\mathrm{2}} +{x}^{\mathrm{2}} }\:{D}:\left\{{x}\geqslant\mathrm{0}.{y}\geqslant\mathrm{0}.{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \leqslant{a}^{\mathrm{2}} \right\} \\ $$$$\:\:\:{b}=\int\int\int_{{v}} \left({x}−{y}+{z}\right)^{\mathrm{2}} {dxdydz} \\ $$$$\:\:{v}:\left\{{x}=\mathrm{0}.{y}=\mathrm{0}.{z}=\mathrm{0}\:{x}+{z}=\mathrm{1}.{y}+{z}=\mathrm{1}\right\} \\…
Question Number 170550 by mathlove last updated on 26/May/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 170535 by mathlove last updated on 26/May/22 $$\int_{{c}} \left({cosxsiny}−{xy}\right){dx}+\left({sinx}\:\centerdot{cosy}\right){dy} \\ $$$${faind}\:{integral}\:{on}\:{the}\:{opposite} \\ $$$${sid}\:{of}\:{the}\:{clock}\:{face}\:{in}\:{the} \\ $$$${c}\:{unit}\:{circle}? \\ $$$${solve}\:{this} \\ $$ Commented by mathlove last…
Question Number 170532 by MikeH last updated on 26/May/22 $$\mathrm{Let}\:{I}_{{n}} \:=\int{x}^{{n}} {e}^{−{x}} {dx},\:{n}\:=\:\mathrm{0},\mathrm{1},\mathrm{2},… \\ $$$$\left(\mathrm{i}\right)\:\mathrm{Show}\:\mathrm{that}\:{I}_{{n}} \:=\:−{x}^{{n}} {e}^{−{x}} +{nI}_{{n}−\mathrm{1}} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{Show}\:\mathrm{that}\:\int_{\mathrm{0}} ^{\infty} {x}^{{n}} {e}^{−{x}} {dx}\:=\:{n}! \\…