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1-1-ln-x-dx-

Question Number 153164 by alisiao last updated on 05/Sep/21 $$\int_{−\mathrm{1}} ^{\:\mathrm{1}} \boldsymbol{{ln}}\left(\boldsymbol{\Gamma}\left(\boldsymbol{{x}}\right)\right)\:\boldsymbol{{dx}} \\ $$ Answered by Ar Brandon last updated on 05/Sep/21 $$\Omega=\int_{−\mathrm{1}} ^{\mathrm{1}} \mathrm{ln}\left(\Gamma\left({x}\right)\right){dx}=\underset{\Omega_{\mathrm{1}}…

x-y-2-y-2x-6-25-x-y-1-2x-y-5-

Question Number 87614 by mary_ last updated on 05/Apr/20 $$\begin{cases}{\left({x}+{y}\right).\mathrm{2}^{{y}−\mathrm{2}{x}} =\mathrm{6}.\mathrm{25}}\\{\left({x}+{y}\right)^{\frac{\mathrm{1}}{\mathrm{2}{x}−{y}}} =\mathrm{5}}\end{cases} \\ $$ Answered by mahdi last updated on 05/Apr/20 $$\left(\mathrm{x}+\mathrm{y}\right)^{\frac{\mathrm{1}}{\mathrm{2x}−\mathrm{y}}} =\mathrm{5}\Rightarrow\left(\mathrm{x}+\mathrm{y}\right)=\mathrm{5}^{\mathrm{2x}−\mathrm{y}} \\ $$$$\left(\mathrm{x}+\mathrm{y}\right).\mathrm{2}^{\mathrm{y}−\mathrm{2x}}…

Question-153146

Question Number 153146 by SANOGO last updated on 05/Sep/21 Answered by puissant last updated on 05/Sep/21 $${posons}\:{u}\left({n}\right)=\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{a}\left({n}\right)\:{et}\:{prenons}\:{f}\:{une} \\ $$$${fonction}\:{de}\:{classe}\:{C}^{\mathrm{1}} ,\:{alors}\:{posons} \\ $$$${a}\left({n}\right)=\mathrm{1}\:{pour}\:{tout}\:{n}\:{et}\:{f}\left({n}\right)=\frac{\mathrm{1}}{{n}} \\…

Question-22062

Question Number 22062 by x² – y²@gmail.com last updated on 10/Oct/17 Commented by FilupS last updated on 10/Oct/17 $$=\underset{{n}=\mathrm{1}} {\overset{\mathrm{97}} {\sum}}\frac{\mathrm{1}}{\left({n}+\mathrm{1}\right)!\centerdot\left({n}+\mathrm{3}\right)!} \\ $$$$=\underset{{n}=\mathrm{1}} {\overset{\mathrm{97}} {\sum}}\frac{\mathrm{1}}{\left({n}+\mathrm{1}\right)!^{\mathrm{2}}…

I-have-recently-seen-a-different-notation-for-integration-written-as-dxf-x-e-g-dx-x-1-2-Is-this-the-same-as-f-x-dx-x-1-2-

Question Number 22051 by FilupS last updated on 10/Oct/17 $$\mathrm{I}\:\mathrm{have}\:\mathrm{recently}\:\mathrm{seen}\:\mathrm{a}\:\mathrm{different}\:\mathrm{notation} \\ $$$$\mathrm{for}\:\mathrm{integration},\:\mathrm{written}\:\mathrm{as}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int{dxf}\left({x}\right) \\ $$$${e}.{g}. \\ $$$$\:\:\:\:\:\:\int{dx}\left({x}+\mathrm{1}\right)^{\mathrm{2}} \\ $$$$\: \\ $$$$\mathrm{Is}\:\mathrm{this}\:\mathrm{the}\:\mathrm{same}\:\mathrm{as}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int{f}\left({x}\right){dx} \\…