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Author: Tinku Tara

calculate-x-3-x-2-x-2-x-1-dx-

Question Number 62207 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\int\:\:\:\:\:\:\frac{{x}+\mathrm{3}}{\left({x}−\mathrm{2}\right)\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}}\:{dx} \\ $$ Commented by maxmathsup by imad last updated on 18/Jun/19 $${I}\:=\int\:\frac{{x}−\mathrm{2}\:+\mathrm{5}}{\left({x}−\mathrm{2}\right)\sqrt{{x}^{\mathrm{2}}…

Question-127739

Question Number 127739 by Algoritm last updated on 01/Jan/21 Commented by Ndala last updated on 01/Jan/21 $${y},{z}\in\mathbb{N} \\ $$$$\mathrm{7}^{{z}} >\mathrm{0}\Leftrightarrow\mathrm{2}^{{y}} −{y}^{\mathrm{6}} >\mathrm{0}\Leftrightarrow\mathrm{0}\leqslant{y}\leqslant\mathrm{1} \\ $$$${f}\left({y}\right)=\mathrm{2}^{{y}} −{y}^{\mathrm{6}}…