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Author: Tinku Tara

Calculus-i-1-0-1-ln-2-1-x-ln-x-x-dx-ii-2-0-1-ln-2-x-ln-1-x-x-dx-iii-3-0-1-ln-2-x-ln-1-x-x-dx-

Question Number 143508 by mnjuly1970 last updated on 15/Jun/21 $$ \\ $$$$\:\:\:\:\:\:\:\:……….{Calculus}…….. \\ $$$$\:\:\:\:{i}:\:\:\:\boldsymbol{\phi}_{\mathrm{1}} :=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{ln}^{\mathrm{2}} \left(\mathrm{1}−{x}\right).{ln}\left({x}\right)}{{x}}{dx} \\ $$$$\:\:\:{ii}:\:\:\:\boldsymbol{\phi}_{\mathrm{2}} :=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{ln}^{\mathrm{2}} \left({x}\right).{ln}\left(\mathrm{1}−{x}\right)}{{x}}\:{dx} \\…

dx-x-x-dx-

Question Number 12436 by tawa last updated on 22/Apr/17 $$\int\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{x}} }\:\mathrm{dx} \\ $$ Commented by mrW1 last updated on 22/Apr/17 $${do}\:{you}\:{mean}\:\int\frac{{dx}}{{x}^{{x}} }\:? \\ $$$${I}\:{don}'{t}\:{think}\:{x}^{{x}} \:{as}\:{well}\:{as}\:{x}^{−{x}}…

Question-143505

Question Number 143505 by mim24 last updated on 15/Jun/21 Commented by mr W last updated on 15/Jun/21 $${f}\left({x}\right)=\frac{{x}}{\left({x}+\mathrm{2}+\sqrt{\mathrm{3}}\right)\left({x}+\mathrm{2}−\sqrt{\mathrm{3}}\right)} \\ $$$${f}\left({x}\right)\rightarrow\pm\infty\:{when}\:{x}\rightarrow−\mathrm{2}\pm\sqrt{\mathrm{3}} \\ $$$$\Rightarrow{no}\:{maximum},\:{no}\:{minimum} \\ $$ Answered…

10-20-13-45-

Question Number 143507 by Billy last updated on 15/Jun/21 $$\mathrm{10}\sqrt{\mathrm{20}}+\mathrm{13}\sqrt{\mathrm{45}} \\ $$ Answered by qaz last updated on 15/Jun/21 $$\mathrm{10}\sqrt{\mathrm{20}}+\mathrm{13}\sqrt{\mathrm{45}} \\ $$$$=\mathrm{10}×\mathrm{2}\sqrt{\mathrm{5}}+\mathrm{13}×\mathrm{3}\sqrt{\mathrm{5}} \\ $$$$=\left(\mathrm{20}+\mathrm{39}\right)\sqrt{\mathrm{5}} \\…

To-Tinku-Tara-it-is-not-possible-to-post-long-and-narrow-images-since-the-button-Submit-is-not-visible-Can-you-please-solve-this-problem-

Question Number 12432 by mrW1 last updated on 22/Apr/17 $${To}\:{Tinku}\:{Tara}: \\ $$$${it}\:{is}\:{not}\:{possible}\:{to}\:{post}\:{long}\:{and}\:{narrow} \\ $$$${images},\:{since}\:{the}\:{button}\:'{Submit}'\:{is} \\ $$$${not}\:{visible}.\:{Can}\:{you}\:{please}\:{solve}\:{this}\:{problem}? \\ $$ Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 22/Apr/17…

Question-77966

Question Number 77966 by mr W last updated on 12/Jan/20 Answered by john santu last updated on 12/Jan/20 $${ratio}\:{area}\:=\:\mathrm{4}\::\:\mathrm{9}\::\:\mathrm{49}\: \\ $$$${ratio}\:{of}\:{side}\:=\:\mathrm{2}:\mathrm{3}:\mathrm{7} \\ $$$${area}\:{ABC}\:=\:\mathrm{36}×\mathrm{4}\:=\:\mathrm{144} \\ $$…