Question Number 69803 by Abdo msup. last updated on 28/Sep/19 $$\left.\mathrm{1}\right){find}\:\:\:{f}\left(\alpha\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{cos}\left(\alpha{x}\right)}{\left({x}^{\mathrm{4}} +\mathrm{1}\right)^{\mathrm{2}} }{dx}\:\:{with}\:\alpha\:{real} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{cos}\left(\mathrm{2}{x}\right)}{\left({x}^{\mathrm{4}} +\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{nature}\:{of}\:{the}\:{serie}\:\Sigma{f}\left({n}\right) \\ $$…
Question Number 69795 by mathmax by abdo last updated on 27/Sep/19 $${let}\:{p}\left({x}\right)=\left({x}+{in}\right)^{{n}} −{n}^{{n}} \:{with}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:{p}\left({x}\right) \\ $$$$\left.\mathrm{2}\right){factorize}\:{p}\left({x}\right)\:{inside}\:{C}\left[{x}\right] \\ $$$$\left.\mathrm{3}\right)\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{\mathrm{1}}{{p}\left({x}\right)} \\ $$ Commented by mathmax…
Question Number 69794 by mathmax by abdo last updated on 27/Sep/19 $${let}\:{p}\left({x}\right)=\left({x}+\mathrm{1}\right)^{\mathrm{6}} \:−{e}^{{i}\alpha} \:\:\:\:{with}\:\alpha\:{real} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:{p}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{p}\left({x}\right){inside}\:{C}\left[{x}\right] \\ $$$$\left.\mathrm{3}\right){factorize}\:{p}\left({x}\right){inside}\:{R}\left[{x}\right] \\ $$ Commented by mathmax…
Question Number 69790 by mathmax by abdo last updated on 27/Sep/19 $${sove}\:\left({x}^{\mathrm{2}} −\mathrm{3}{x}\right){y}^{''} \:\:+\mathrm{2}{x}\:{y}^{'} \:=\left(\mathrm{2}{x}+\mathrm{1}\right){e}^{−{x}^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated…
Question Number 69792 by mathmax by abdo last updated on 27/Sep/19 $${find}\:{f}\left(\alpha\right)\:=\int\:\:\:\frac{{dx}}{{x}+\alpha+\sqrt{{x}^{\mathrm{2}} \:+\mathrm{3}}} \\ $$$${and}\:{g}\left(\alpha\right)=\int\:\:\:\frac{{dx}}{\left({x}+\alpha+\sqrt{{x}^{\mathrm{2}} +\mathrm{3}}\right)^{\mathrm{2}} }\:\:\:\:{with}\:\alpha\:{real} \\ $$ Commented by mathmax by abdo last…
Question Number 69786 by mathmax by abdo last updated on 27/Sep/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{\left(\mathrm{2}{n}+\mathrm{1}\right)\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)\left({n}+\mathrm{2}\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last…
Question Number 4102 by prakash jain last updated on 28/Dec/15 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{function}\:{f}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$$\mathrm{such}\:\mathrm{that} \\ $$$${f}\left({x}+\mathrm{1}\right)={xf}\left({x}\right) \\ $$$${f}\:\left(\mathrm{0}\right)=\mathrm{1}\: \\ $$$${f}\left({x}\right)\neq\Gamma\left({x}\right) \\ $$ Commented by prakash jain…
Question Number 3963 by 123456 last updated on 25/Dec/15 $${f}:\left[\mathrm{0},+\infty\right) \\ $$$${f}\left(\alpha{x}+\beta\right)=\alpha{f}\left({x}\right)+\beta \\ $$$${f}\left({x}\right)=? \\ $$ Answered by prakash jain last updated on 25/Dec/15 $${f}\left({x}\right)={x}…
Question Number 69377 by mathmax by abdo last updated on 22/Sep/19 $${sove}\:\:{x}^{\mathrm{2}} {y}^{'} \:\:−\left({x}^{\mathrm{3}} \:+\mathrm{1}\right){y}\:\:={sin}\left(\mathrm{2}{x}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 69376 by mathmax by abdo last updated on 22/Sep/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last…