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Question Number 109863 by mathdave last updated on 26/Aug/20 Answered by mathdave last updated on 26/Aug/20 $${solution} \\ $$$${recall}\:{that}\:\: \\ $$$$\:_{{a}} {D}_{{x}} ^{−\alpha} {f}\left({t}\right)=_{{a}} {I}_{{x}}…

Question Number 109854 by bemath last updated on 26/Aug/20 $$\:\frac{\bigstar{be}\bigstar}{{math}} \\ $$$$\left(\mathrm{1}\right)\int\:\frac{\mathrm{3}+\mathrm{2cos}\:{x}}{\left(\mathrm{2}+\mathrm{3cos}\:{x}\right)^{\mathrm{3}} }\:{dx}\: \\ $$$$\left(\mathrm{2}\right)\left(\sqrt{\mathrm{2}+\sqrt{\mathrm{3}}}\:\right)^{{y}} −\left(\sqrt{\mathrm{2}−\sqrt{\mathrm{3}}}\:\right)^{{y}} \:=\:\mathrm{14} \\ $$$$\:\:\:\:\:{y}=? \\ $$ Commented by bemath last…

Question Number 109852 by aurpeyz last updated on 26/Aug/20 $${pls}\:{is}\:{there}\:{anyone}\:{with}\:{any}\:{material}\:{that} \\ $$$${can}\:{help}\:{me}\:{for}\:{binomial}\:{expansion}\:{for} \\ $$$${negative}\:{powers} \\ $$ Commented by mathdave last updated on 26/Aug/20 $${drop}\:{the}\:{question}\:{nah}\:{from}\:{there}\:{when}\:{it}\:{solvr}\:{u} \\…

Question Number 44301 by naka3546 last updated on 26/Sep/18 $${Prove}\:\:{that} \\ $$$$\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\mathrm{4}^{\mathrm{2}} }\:+\:…\:\:=\:\:\frac{\pi^{\mathrm{2}} }{\mathrm{6}} \\ $$ Commented by abdo.msup.com last updated on 26/Sep/18…

Question Number 109817 by Algoritm last updated on 25/Aug/20 Commented by 1549442205PVT last updated on 26/Aug/20 $$\mathrm{This}\:\mathrm{question}\:\mathrm{is}\:\mathrm{repeated}\:\mathrm{question} \\ $$$$\mathrm{Q109721}.\mathrm{Here},\mathrm{you}\:\mathrm{wrote}\:\:\mathrm{the}\:\mathrm{question} \\ $$$$\mathrm{in}\:\mathrm{an}\:\mathrm{ambiguous}\:\mathrm{way} \\ $$$$\mathrm{I}\:\mathrm{solve}\:\mathrm{it}\:\mathrm{in}\:\mathrm{the}\:\mathrm{case}\:\mathrm{log}_{\mathrm{3}} \left[\left(\mathrm{6}−\mathrm{x}\right)\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{6}}\right]=\mathrm{x}…