Question Number 60735 by readone97 last updated on 25/May/19 $${express}\:{in}\:{partial}\:{fraction}\:\mathrm{3}/\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −\mathrm{4}\right) \\ $$ Answered by Forkum Michael Choungong last updated on 25/May/19 $$\frac{\mathrm{3}}{\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −\mathrm{4}\right)\:}=\:\frac{{A}}{{x}+\mathrm{1}}\:+\:\frac{{B}}{{x}^{\mathrm{2}} −\mathrm{4}}…
Question Number 191804 by Shlock last updated on 30/Apr/23 Commented by Shlock last updated on 30/Apr/23 x=? Commented by AST last updated on 30/Apr/23 $${It}\:{follows}\:{from}\:{sin}^{\mathrm{2}}…
Question Number 60734 by Tawa1 last updated on 25/May/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{product}\:\mathrm{of}\:\mathrm{the}\:\mathrm{real}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:\:\:\:\:\:\:\:\:\left(\mathrm{x}\:+\:\mathrm{2}\:+\:\sqrt{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{4x}\:+\:\mathrm{3}}\right)^{\mathrm{5}} \:−\:\:\mathrm{32}\left(\mathrm{x}\:+\:\mathrm{2}\:−\:\sqrt{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{4x}\:+\:\mathrm{3}}\right)^{\mathrm{5}} \:\:=\:\:\mathrm{31} \\ $$ Commented by Prithwish sen last updated on…
Question Number 126269 by liberty last updated on 19/Dec/20 $${If}\:{n}\:{is}\:{an}\:{odd}\:{integer}\:,\:{show}\:{that}\:\mathrm{32} \\ $$$${divides}\:\left({n}^{\mathrm{2}} +\mathrm{3}\right)\left({n}^{\mathrm{3}} +\mathrm{7}\right)\:?\: \\ $$ Answered by MJS_new last updated on 19/Dec/20 $$\mathrm{not}\:\mathrm{true}\:\mathrm{for}\:{n}=\mathrm{3} \\…
Question Number 126266 by bramlexs22 last updated on 18/Dec/20 $$\:{solve}\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{1}−{x}^{\mathrm{2}} }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\sqrt{\mathrm{1}+{x}^{\mathrm{4}} }}\:{dx}\:?\: \\ $$ Answered by liberty last updated on 19/Dec/20 $${N}=\int_{\mathrm{0}}…
Question Number 60731 by aliesam last updated on 25/May/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 126267 by mathocean1 last updated on 19/Dec/20 $${z}\neq\mathrm{0}\:{and}\:{z}\:{is}\:{complex}; \\ $$$${z}={x}+{iy}\:{with}\:{x};{y}\:\in\:\mathbb{R}^{\ast} . \\ $$$${Given}\:{these}\:{points}\:{with}\:{theirs} \\ $$$${affix}: \\ $$$$\mathrm{0}\left(\mathrm{0}+\mathrm{0}{i}\right);\:{N}\left({z}^{\mathrm{2}} −\mathrm{1}\right)\:{and}\:{P}\left(\frac{\mathrm{1}}{\mathrm{z}^{\mathrm{2}} }−\mathrm{1}\right) \\ $$$$\mathrm{1}.\:{Show}\:{that} \\ $$$$\left(\frac{\mathrm{1}}{{z}^{\mathrm{2}}…
Question Number 60728 by Mr X pcx last updated on 25/May/19 $${calculate}\:\int_{\mathrm{1}} ^{+\infty} \:\:\frac{{ln}\left({lnx}\right)}{{x}^{\mathrm{2}} −{x}\:+\mathrm{1}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 60727 by Mr X pcx last updated on 25/May/19 $${calculate}\:\int_{\mathrm{1}} ^{+\infty} \:\frac{{ln}\left({lnx}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 191796 by mathlove last updated on 30/Apr/23 Commented by mathlove last updated on 01/May/23 $${pleas}\:{solve}\:{this} \\ $$ Answered by AST last updated on…