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Author: Tinku Tara

Solve-for-x-C-x-3-4-3i-x-2-51-49i-x-442-170i-0-

Question Number 204999 by Frix last updated on 05/Mar/24 $$\mathrm{Solve}\:\mathrm{for}\:{x}\in\mathbb{C} \\ $$$${x}^{\mathrm{3}} +\left(\mathrm{4}−\mathrm{3i}\right){x}^{\mathrm{2}} −\left(\mathrm{51}+\mathrm{49i}\right){x}−\mathrm{442}+\mathrm{170i}=\mathrm{0} \\ $$ Answered by Skabetix last updated on 05/Mar/24 $${S}=\left\{\:−\mathrm{9}−\mathrm{4}{i}\:;\:−\mathrm{3}+\mathrm{5}{i}\:;\:\mathrm{8}+\mathrm{2}{i}\:\right\}? \\…

Is-there-any-way-to-integrate-1-ln-x-dx-without-hitting-the-Gauss-error-function-or-e-t-2-and-e-t-2-

Question Number 204992 by Akira181 last updated on 05/Mar/24 $$\mathrm{Is}\:\mathrm{there}\:\mathrm{any}\:\mathrm{way}\:\mathrm{to}\:\mathrm{integrate}: \\ $$$$\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{ln}\left({x}\right)}}\:{dx} \\ $$$$\mathrm{without}\:\mathrm{hitting}\:\mathrm{the}\:\mathrm{Gauss}\:\mathrm{error}\:\mathrm{function} \\ $$$$\mathrm{or}\:{e}^{{t}^{\mathrm{2}} } \:\mathrm{and}\:{e}^{−{t}^{\mathrm{2}} } \:? \\ $$ Answered by TonyCWX08…

Question-204978

Question Number 204978 by SANOGO last updated on 04/Mar/24 Answered by witcher3 last updated on 04/Mar/24 $$\mathrm{Soit}\:\mathrm{U}_{\mathrm{n}} ^{\mathrm{k}} \:\mathrm{une}\:\mathrm{suite}\:\mathrm{de}\:\mathrm{cauchy}\:\:\mathrm{Dans}\:\mathrm{C}_{\mathrm{0}} \\ $$$$\forall\mathrm{k}\:\:\mathrm{U}_{\mathrm{n}} ^{\mathrm{k}} \in\mathrm{C}_{} ^{\mathbb{N}} ;\underset{\mathrm{n}\rightarrow\infty}…

Question-204970

Question Number 204970 by mr W last updated on 04/Mar/24 Commented by mr W last updated on 04/Mar/24 $${the}\:{vertices}\:{of}\:{triangle}\:{PQR}\:{lie}\:{on} \\ $$$${each}\:{of}\:{the}\:{three}\:{touching}\:{circles} \\ $$$${with}\:{radii}\:{a},\:{b},\:{c}\:{respectively}. \\ $$$${find}\:{the}\:{maximum}\:{area}\:{of}\:{the}…

1-1-cot-3x-dx-

Question Number 204961 by naka3546 last updated on 04/Mar/24 $$\int\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{cot}\:\mathrm{3}{x}}\:{dx}\:=\:\: \\ $$ Answered by TonyCWX08 last updated on 04/Mar/24 $${let}\:{t}\:=\:\mathrm{3}{x} \\ $$$${dt}\:=\:\mathrm{3}\:{dx} \\ $$$$ \\…