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find-the-integral-of-x-x-1-dx-

Question Number 56392 by otchereabdullai@gmail.com last updated on 15/Mar/19 $$\mathrm{find}\:\mathrm{the}\:\mathrm{integral}\:\mathrm{of}\:\:\int\mathrm{x}\sqrt{\mathrm{x}−\mathrm{1}}\mathrm{dx} \\ $$ Commented by maxmathsup by imad last updated on 16/Mar/19 $${changement}\:\sqrt{{x}−\mathrm{1}}={t}\:{give}\:{x}−\mathrm{1}\:={t}^{\mathrm{2}} \:\Rightarrow \\ $$$$\int\:{x}\sqrt{{x}−\mathrm{1}}{dx}\:=\int\:\left(\mathrm{1}+{t}^{\mathrm{2}}…

0-1-sinx-dx-

Question Number 187453 by norboyev last updated on 17/Feb/23 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\sqrt{\mathrm{sin}{x}}\mathrm{d}{x}=? \\ $$ Answered by Frix last updated on 17/Feb/23 $$\int\sqrt{\mathrm{sin}\:{x}}\:{dx}=\:\left[\mathrm{Elliptic}\:\mathrm{Integral}\right] \\ $$$$=−\mathrm{2}{E}\:\left(\frac{\pi}{\mathrm{4}}−\frac{{x}}{\mathrm{2}}\mid\mathrm{2}\right)\:+{C} \\…

Question-121909

Question Number 121909 by help last updated on 12/Nov/20 Answered by mr W last updated on 13/Nov/20 $${say}\:{a}\:{bird}\:{needs}\:{p}\:{times}\:{energy}\:{to} \\ $$$${fly}\:{over}\:{water}\:{as}\:{over}\:{land}. \\ $$$${say}\:{BC}={x} \\ $$$${AC}=\sqrt{{x}^{\mathrm{2}} +\mathrm{5}^{\mathrm{2}}…

What-is-the-common-formula-to-obtain-the-3-solutions-of-a-polynomial-equation-in-the-following-form-ax-3-b-2-x-cx-d-0-

Question Number 56368 by Hassen_Timol last updated on 15/Mar/19 $${What}\:{is}\:{the}\:{common}\:{formula}\:{to}\:{obtain} \\ $$$${the}\:\mathrm{3}\:{solutions}\:{of}\:{a}\:{polynomial}\:{equation} \\ $$$${in}\:{the}\:{following}\:{form}\:? \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:{ax}^{\mathrm{3}} \:+\:{b}^{\mathrm{2}} {x}\:+\:{cx}\:+\:{d}\:=\:\mathrm{0} \\ $$ Commented by mr…

Solve-log-2x-2-log-3x-2-log-2-2-log-3-2-

Question Number 121899 by ZiYangLee last updated on 12/Nov/20 $$\mathrm{Solve}\:\left(\mathrm{log}\:\mathrm{2}{x}\right)^{\mathrm{2}} +\left(\mathrm{log}\:\mathrm{3}{x}\right)^{\mathrm{2}} =\left(\mathrm{log}\:\mathrm{2}\right)^{\mathrm{2}} +\left(\mathrm{log}\:\mathrm{3}\right)^{\mathrm{2}} \\ $$ Commented by Dwaipayan Shikari last updated on 12/Nov/20 $${x}=\mathrm{1} \\…

log-3-2y-1-2-log-3-6y-2-log-3-2y-

Question Number 56351 by otchereabdullai@gmail.com last updated on 15/Mar/19 $$\mathrm{log}_{\mathrm{3}} \left(\mathrm{2y}+\mathrm{1}\right)+\mathrm{2}=\mathrm{log}_{\mathrm{3}} \mathrm{6y}^{\mathrm{2}} −\mathrm{log}_{\mathrm{3}} \mathrm{2y} \\ $$ Answered by $@ty@m last updated on 15/Mar/19 $$\mathrm{log}_{\mathrm{3}} \left(\mathrm{2y}+\mathrm{1}\right)+\mathrm{log}_{\mathrm{3}}…