Category: Algebra

Question Number 47916 by peter frank last updated on 16/Nov/18 Commented by maxmathsup by imad last updated on 17/Nov/18 $$\left.{b}\right)\:{let}\:{I}\:=\int\:\frac{\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{3}}}{{x}+\mathrm{2}}\:{dx}\:\Rightarrow\:{I}\:=\:\int\:\frac{\sqrt{\left({x}+\mathrm{1}\right)^{\mathrm{2}} −\mathrm{4}}}{{x}+\mathrm{2}}\:{dx}\:=_{{x}+\mathrm{1}=\mathrm{2}{cht}} \:\int\frac{\mathrm{2}\sqrt{{ch}^{\mathrm{2}} {t}−\mathrm{1}}}{\mathrm{2}{ch}\left({t}\right)−\mathrm{1}+\mathrm{2}}\mathrm{2}{sh}\left({t}\right){dt} \…

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Question Number 113372 by Aina Samuel Temidayo last updated on 13/Sep/20 $$2^{\mathrm{a}}+2^{\mathrm{b}}+2^{\mathrm{c}}+2^{\mathrm{d}}=57,\mathrm{find}\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}.$$$$\mathrm{a}\ne \mathrm{b}\ne \mathrm{c}\ne \mathrm{d}\mathrm{and}\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d}\mathrm{are}\mathrm{positive}$$$$\mathrm{integers}.$$ Commented by udaythool…