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2-2-

Question Number 195627 by Boazmbura last updated on 06/Aug/23 $$\mathrm{2}+\mathrm{2} \\ $$ Commented by Frix last updated on 06/Aug/23 $${x}=\mathrm{2}+\mathrm{2}\:\Rightarrow\:\mathrm{3}.\mathrm{97}<{x}<\mathrm{4}.\mathrm{015} \\ $$ Terms of Service…

Question-195578

Question Number 195578 by sonukgindia last updated on 05/Aug/23 Answered by Frix last updated on 05/Aug/23 $$\mathrm{sin}\:\alpha\:+\mathrm{cos}\:\alpha\:=\frac{\sqrt{\mathrm{3}}}{\mathrm{3}} \\ $$$${t}=\mathrm{tan}\:\alpha \\ $$$$\frac{{t}+\mathrm{1}}{\:\sqrt{{t}^{\mathrm{2}} +\mathrm{1}}}=\frac{\sqrt{\mathrm{3}}}{\mathrm{3}} \\ $$$${t}=−\frac{\mathrm{3}−\sqrt{\mathrm{5}}}{\mathrm{2}}\:\Rightarrow \\…

1-5-x-2-x-1-dx-

Question Number 195515 by sulaymonnorboyev140 last updated on 04/Aug/23 $$\underset{\mathrm{1}} {\overset{\mathrm{5}} {\int}}{x}^{\mathrm{2}} \sqrt{{x}−\mathrm{1}}{dx}=? \\ $$ Answered by tri26112004 last updated on 04/Aug/23 $${Say}\:{t}=\sqrt{{x}−\mathrm{1}}\Rightarrow{t}^{\mathrm{2}} ={x}−\mathrm{1}\Leftrightarrow{x}^{\mathrm{2}} =\left({t}^{\mathrm{2}}…