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Author: Tinku Tara

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

Question Number 17086 by Joel577 last updated on 30/Jun/17 $$\underset{−\mathrm{1}} {\overset{\mathrm{2}} {\int}}\:\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\:{dx} \\ $$ Commented by Joel577 last updated on 30/Jun/17 $$\mathrm{How}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{problem}\:\mathrm{like}\:\mathrm{this}? \\ $$$$\mathrm{Because}\:\mathrm{when}\:\mathrm{I}\:\mathrm{graph}\:\mathrm{the}\:\mathrm{function},…

Question-148155

Question Number 148155 by Khalmohmmad last updated on 25/Jul/21 Answered by Rasheed.Sindhi last updated on 26/Jul/21 $${x}+\frac{\mathrm{1}}{{x}}=−\mathrm{1}\Rightarrow{x}^{\mathrm{2}} +{x}+\mathrm{1}=\mathrm{0} \\ $$$${x}=\omega,\omega^{\mathrm{2}} \\ $$$${x}=\omega \\ $$$${x}^{\mathrm{1400}} +{x}^{\mathrm{1363}}…

1-2-3-n-N-n-

Question Number 148154 by mathdanisur last updated on 25/Jul/21 $$\sqrt{\mathrm{1}!\:+\:\mathrm{2}!\:+\:\mathrm{3}!\:+\:…\:+\:\boldsymbol{{n}}!}\:\:\in\:\mathbb{N} \\ $$$$\boldsymbol{{n}}\:=\:? \\ $$ Answered by puissant last updated on 25/Jul/21 $$\mathrm{n}=\mathrm{1} \\ $$ Commented…

sin-101x-sinx-99-dx-

Question Number 82617 by necxxx last updated on 23/Feb/20 $$\int\mathrm{sin}\:\left(\mathrm{101}{x}\right)\left({sinx}\right)^{\mathrm{99}} {dx} \\ $$ Answered by TANMAY PANACEA last updated on 23/Feb/20 $$\int{sin}\left({n}+\mathrm{1}\right){xsin}^{{n}−\mathrm{1}} {xdx}\:\:\:\:{n}=\mathrm{100} \\ $$$$\int\left({sinnxcosx}+{cosnxsinx}\right){sin}^{{n}−\mathrm{1}}…

sin-4-2-cos-4-2-1-2-

Question Number 17080 by Kunal kumar shukla last updated on 30/Jun/17 $$\mathrm{sin}^{\mathrm{4}} \theta/\mathrm{2}+\mathrm{cos}\:^{\mathrm{4}} \theta/\mathrm{2}\geqslant\mathrm{1}/\mathrm{2} \\ $$ Answered by virus last updated on 30/Jun/17 $$\mathrm{1}−\mathrm{2sin}\:^{\mathrm{2}} \left(\theta/\mathrm{2}\right)\mathrm{cos}\:^{\mathrm{2}}…

Question-148151

Question Number 148151 by puissant last updated on 25/Jul/21 Answered by Olaf_Thorendsen last updated on 25/Jul/21 $$\mathrm{1}. \\ $$$$\left({u}_{{n}} \right)_{{n}\in\mathbb{N}^{\ast} } \:\mathrm{est}\:\mathrm{de}\:\mathrm{type}\:\mathcal{M}. \\ $$$$\mathrm{Donc}\:\forall{n}\in\mathbb{N}^{\ast} ,\:{u}_{{n}}…

Given-that-log-x-y-z-log-y-z-x-log-z-x-y-Show-that-x-x-y-y-z-z-1-

Question Number 17075 by tawa tawa last updated on 30/Jun/17 $$\mathrm{Given}\:\mathrm{that}:\:\:\mathrm{log}\left(\frac{\mathrm{x}}{\mathrm{y}\:−\:\mathrm{z}}\right)\:=\:\mathrm{log}\left(\frac{\mathrm{y}}{\mathrm{z}\:−\:\mathrm{x}}\right)\:=\:\mathrm{log}\left(\frac{\mathrm{z}}{\mathrm{x}\:−\:\mathrm{y}}\right) \\ $$$$\mathrm{Show}\:\mathrm{that}\::\:\:\:\mathrm{x}^{\mathrm{x}} \:×\:\mathrm{y}^{\mathrm{y}} \:×\:\mathrm{z}^{\mathrm{z}} \:=\:\mathrm{1} \\ $$ Commented by RasheedSoomro last updated on 30/Jun/17…