Question Number 184031 by SEKRET last updated on 02/Jan/23 $$\:\int_{\mathrm{1}} ^{\infty} \:\frac{\boldsymbol{\mathrm{x}}^{\mathrm{7}} −\boldsymbol{\mathrm{x}}}{\boldsymbol{\mathrm{x}}^{\mathrm{10}} −\mathrm{1}}\boldsymbol{\mathrm{dx}}\:=\:? \\ $$ Answered by ARUNG_Brandon_MBU last updated on 02/Jan/23 $$\int_{\mathrm{1}} ^{\infty}…
Question Number 184027 by SEKRET last updated on 02/Jan/23 $$\:\:\: \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} \:\boldsymbol{\mathrm{e}}^{−\boldsymbol{{tg}}^{\mathrm{2}} \left(\boldsymbol{{x}}\right)} \:\boldsymbol{{d}\mathrm{x}}\:=\:??? \\ $$$$ \\ $$$$ \\…
Question Number 52953 by hassentimol last updated on 15/Jan/19 $$ \\ $$$$\mathrm{Can}\:\mathrm{you}\:\mathrm{pls}\:\mathrm{help}\:\mathrm{me}\:\mathrm{with}\:\mathrm{that}\:\mathrm{but}\:\mathrm{only} \\ $$$$\mathrm{by}\:\mathrm{using}\:\mathrm{the}\:\mathrm{derivative}\:\mathrm{of}\:{f}\left(\mathrm{1}\right)\:\mathrm{and}\:\boldsymbol{\mathrm{not}} \\ $$$$\mathrm{using}\:\mathrm{the}\:\mathrm{defined}\:\mathrm{defivative}\:\mathrm{of}\:{f}\left({x}\right)\:\mathrm{itself}\:? \\ $$$$ \\ $$$$\mathrm{Thanks} \\ $$$$ \\ $$$${f}\left({x}\right)\:=\:{x}^{\mathrm{2}} \:−\:{x}…
Question Number 184018 by paul2222 last updated on 01/Jan/23 $$\boldsymbol{\mathrm{evaluate}}\:\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\boldsymbol{\sum}}}\frac{\mathrm{1}}{\boldsymbol{\mathrm{n}}^{\mathrm{3}} \begin{pmatrix}{\mathrm{6}\boldsymbol{\mathrm{n}}}\\{\mathrm{3}\boldsymbol{\mathrm{n}}}\end{pmatrix}} \\ $$ Answered by witcher3 last updated on 02/Jan/23 $$\underset{{n}\geqslant\mathrm{1}} {\sum}\frac{\left(\left(\mathrm{3}{n}\right)!\right)^{\mathrm{2}} }{{n}^{\mathrm{3}}…
Question Number 184012 by manolex last updated on 01/Jan/23 $$\mathrm{3}^{{x}} −\mathrm{2}^{{x}} ={x}^{\mathrm{2}} +\mathrm{10} \\ $$$${find} \\ $$$$\left(\mathrm{3}^{{x}} −\mathrm{10}\right)^{\mathrm{2}} \left(\mathrm{2}^{{x}} −\mathrm{1}\right) \\ $$ Commented by Rasheed.Sindhi…
Question Number 118466 by mathdave last updated on 17/Oct/20 $${solve} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{tan}^{−\mathrm{1}} {x}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dx} \\ $$ Answered by mathmax by abdo last updated…
Question Number 118455 by Ravin1989 last updated on 17/Oct/20 Commented by benjo_mathlover last updated on 17/Oct/20 $$\left(\mathrm{4}\right)\:\mid\mathrm{3}{A}\mid\:=\:\mathrm{3}^{\mathrm{3}} ×\mid{A}\mid\:=\:\mathrm{27}×\mathrm{8}=\mathrm{216} \\ $$ Answered by TANMAY PANACEA last…
Question Number 183974 by yaslm last updated on 01/Jan/23 Answered by MJS_new last updated on 01/Jan/23 $${x}={y}^{\mathrm{3}} +\mathrm{12}{y}+\mathrm{7} \\ $$$${y}^{\mathrm{3}} +\mathrm{12}{y}+\left(\mathrm{7}−{y}\right)=\mathrm{0} \\ $$$$\mathrm{use}\:\mathrm{Cardano}'\mathrm{s}\:\mathrm{Formula}\:\mathrm{to}\:\mathrm{get} \\ $$$${y}=\sqrt[{\mathrm{3}}]{\frac{{x}−\mathrm{7}}{\mathrm{2}}−\frac{\sqrt{{x}^{\mathrm{2}}…
Question Number 183967 by SEKRET last updated on 01/Jan/23 $$\:\:\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\left(−\mathrm{1}\right)^{\boldsymbol{\mathrm{n}}+\mathrm{1}} }{\mathrm{3}\boldsymbol{\mathrm{n}}−\mathrm{1}}\:\:=\:\:\:? \\ $$ Answered by Ar Brandon last updated on 01/Jan/23 $${S}=\underset{{n}=\mathrm{1}} {\overset{\infty}…
Question Number 183943 by SulaymonNorboyev last updated on 31/Dec/22 $$\int_{\mathrm{1}−\sqrt{\pi{x}}\frac{{d}^{\frac{\mathrm{1}}{\mathrm{2}}} }{{dx}^{\frac{\mathrm{1}}{\mathrm{2}}} }\left(\mathrm{1}\right)} ^{\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{4}}{\mathrm{4}{n}^{\mathrm{2}} −\mathrm{1}}\:} \frac{\mathrm{arctan}\left(\frac{\mathrm{2}−{x}}{\mathrm{1}+\mathrm{2}{x}}\right)}{{x}^{\mathrm{2}} −\mathrm{4}{x}−\mathrm{1}}{dx} \\ $$ Commented by SEKRET last updated…