Question Number 99822 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{ch}\left(\mathrm{sinx}\right)}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 99819 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{sove}\:\:\mathrm{sinx}\:\mathrm{y}^{'} \:−\mathrm{cos}\left(\mathrm{2x}\right)\mathrm{y}\:=\mathrm{xe}^{−\mathrm{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34267 by math khazana by abdo last updated on 03/May/18 $${calculate}\:\:\int_{\mathrm{0}} ^{+\infty} \:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{e}^{{x}} \right)\left(\mathrm{1}+{e}^{−{x}} \right)}\:. \\ $$ Commented by math khazana by abdo…
Question Number 34263 by math khazana by abdo last updated on 03/May/18 $${calculate}\:{I}\:\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}^{{n}} \right)}\:\:{and} \\ $$$${J}\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\frac{{x}^{{n}} }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}^{{n}} \right)}{dx}\:{with}\:{n}\:{integr}\:>\mathrm{0} \\…
Question Number 34258 by math khazana by abdo last updated on 03/May/18 $$\left.\mathrm{1}\left.\right)\:{prove}\:{that}\:\forall\:{x}\in\right]\mathrm{0},\mathrm{1}\left[\:\:\mathrm{1}−\frac{\mathrm{1}}{{x}}\leqslant{lnx}\leqslant\:{x}−\mathrm{1}\right. \\ $$$$\left.\mathrm{2}\right)\:{find}\:\mathrm{2}\:{sequences}\:{u}_{{n}} \:{and}\:{v}_{{n}} \:\:\:/ \\ $$$${u}_{{n}} \leqslant\prod_{{k}=\mathrm{1}} ^{{n}−\mathrm{1}} \:{ln}\left(\frac{{k}}{{n}}\right)\leqslant{v}_{{n}} \:\:\:\:\forall{n}\geqslant\mathrm{2} \\ $$…
Question Number 34226 by abdo imad last updated on 03/May/18 $${let}\:{u}_{{n}} =\:\left({n}+\mathrm{1}\right)^{\frac{{n}+\mathrm{1}}{{n}}} \:\:−{n}^{\frac{{n}}{{n}−\mathrm{1}}} \\ $$$${find}\:{lim}_{{n}\rightarrow+\infty} {u}_{{n}} \\ $$ Commented by abdo mathsup 649 cc last…
Question Number 34224 by abdo imad last updated on 03/May/18 $${study}\:{and}\:{give}\:{the}\:{graph}\:\:{for} \\ $$$${f}\left({x}\right)\:=\frac{\left({x}−\mathrm{1}\right)^{\mathrm{2}} }{{x}}\:{e}^{−\frac{\mathrm{1}}{{x}^{\mathrm{2}} \:\:}} . \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34217 by abdo imad last updated on 02/May/18 $${calculate}\:{lim}_{{n}\rightarrow+\infty} {n}^{\mathrm{3}} \:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\:\frac{\mathrm{1}}{{n}^{\mathrm{4}} \:+{k}^{\mathrm{2}} {n}^{\mathrm{2}} \:+{k}^{\mathrm{4}} }\:. \\ $$ Commented by math khazana…
Question Number 165160 by mathlove last updated on 26/Jan/22 $${f}\left({x}+{f}\left({x}\right)\right)=\mathrm{3}{f}\left({x}\right)\:\:\:{and}\:{f}\left(−\mathrm{1}\right)=\mathrm{7} \\ $$$${faind}\:\:{f}\left(\mathrm{27}\right)=? \\ $$ Answered by Rasheed.Sindhi last updated on 26/Jan/22 $${x}=−\mathrm{1}:\:{f}\left(−\mathrm{1}+{f}\left(−\mathrm{1}\right)\right)=\mathrm{3}{f}\left(−\mathrm{1}\right) \\ $$$$\:\:\:\:\:\:{f}\left(−\mathrm{1}+\mathrm{7}\right)=\mathrm{3}\left(\mathrm{7}\right) \\…
Question Number 99612 by bemath last updated on 22/Jun/20 Commented by john santu last updated on 22/Jun/20 $${f}\left({x}\right)=\:\frac{\mathrm{1}}{\:\sqrt{\left[{x}\right]^{\mathrm{2}} −\left[{x}\right]−\mathrm{6}}}\:,\:\mathrm{defined}\:\mathrm{if} \\ $$$$\left[{x}\right]^{\mathrm{2}} −\left[{x}\right]−\mathrm{6}\:>\:\mathrm{0} \\ $$$$\left(\left[{x}\right]−\mathrm{3}\right)\left(\left[{x}\right]+\mathrm{2}\:\right)\:>\mathrm{0} \\…