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Category: Algebra

x-2-x-x-6-1-dx-

Question Number 150007 by mathdanisur last updated on 08/Aug/21 $$\int\:\:\frac{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}}{\mathrm{x}^{\mathrm{6}} \:+\:\mathrm{1}}\:\mathrm{dx}\:=\:? \\ $$ Answered by Ar Brandon last updated on 08/Aug/21 $${I}=\int\frac{{x}^{\mathrm{2}} +{x}}{{x}^{\mathrm{6}} +\mathrm{1}}{dx}=\int\frac{{x}^{\mathrm{2}}…

lim-x-0-cos-x-1-x-

Question Number 149958 by mathdanisur last updated on 08/Aug/21 $$\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\sqrt[{\boldsymbol{\mathrm{x}}}]{\mathrm{cos}\sqrt{\mathrm{x}}}\:=\:? \\ $$ Commented by dumitrel last updated on 08/Aug/21 $${e}^{−\frac{\mathrm{1}}{\mathrm{2}}} \\ $$ Commented by…

x-2-2-x-2-4-x-2-6-x-2-2020-1-x-

Question Number 84404 by Wepa last updated on 12/Mar/20 $$\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{6}\right)…\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2020}\right)=\mathrm{1} \\ $$$$\mathrm{x}=? \\ $$ Commented by TANMAY PANACEA last updated on…

Question-149932

Question Number 149932 by mathdanisur last updated on 08/Aug/21 Answered by mr W last updated on 08/Aug/21 $${say}\:{AB}={CD}=\mathrm{1} \\ $$$$\frac{{BD}}{\mathrm{sin}\:\mathrm{5}{x}}=\frac{{BC}}{\mathrm{sin}\:\mathrm{9}{x}}=\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{4}{x}} \\ $$$$\Rightarrow{BD}=\frac{\mathrm{sin}\:\mathrm{5}{x}}{\mathrm{sin}\:\mathrm{4}{x}} \\ $$$$\Rightarrow{BC}=\frac{\mathrm{sin}\:\mathrm{9}{x}}{\mathrm{sin}\:\mathrm{4}{x}} \\…

Question-18864

Question Number 18864 by chernoaguero@gmail.com last updated on 31/Jul/17 Commented by mrW1 last updated on 31/Jul/17 $$\left(\mathrm{x},\mathrm{y}\right)=\left(\mathrm{1},\mathrm{2}\right),\left(\mathrm{2},\mathrm{1}\right),\left(−\mathrm{2},\mathrm{1}\right),\left(\mathrm{1},−\mathrm{2}\right),\left(\mathrm{0},−\mathrm{3}\right),\left(−\mathrm{3},\mathrm{0}\right) \\ $$ Answered by behi.8.3.4.1.7@gmail.com last updated on…