Question Number 145960 by puissant last updated on 10/Jul/21 Answered by mathmax by abdo last updated on 10/Jul/21 $$\mathrm{R}_{\mathrm{n}} =\sum_{\mathrm{p}=\mathrm{n}+\mathrm{1}} ^{\mathrm{2n}} \mathrm{sin}\left(\frac{\mathrm{1}}{\mathrm{p}}\right)\:\Rightarrow\mathrm{R}_{\mathrm{n}} =_{\mathrm{p}−\mathrm{n}=\mathrm{k}} \:\:\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}}…
Question Number 145940 by Mathspace last updated on 09/Jul/21 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{e}^{−{x}} {log}\left(\mathrm{1}−{x}^{\mathrm{4}} \right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 145941 by Mathspace last updated on 09/Jul/21 $${find}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−\mathrm{3}{x}} {log}\left(\mathrm{1}+{x}^{\mathrm{3}} \right){dx} \\ $$ Answered by ArielVyny last updated on 24/Jul/21 $$\frac{\mathrm{3}{x}^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{3}}…
Question Number 145936 by Mathspace last updated on 09/Jul/21 $${g}\left({x}\right)={arctan}\left({cosx}\right) \\ $$$${developp}\:{f}\:{at}\:{fourier}\:{serie} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 145938 by Mathspace last updated on 09/Jul/21 $${g}\left({x}\right)={cos}\left({arctanx}\right) \\ $$$${if}\:{g}\left({x}\right)=\Sigma\:{a}_{{n}} {x}^{{n}} \:{determine}\:{the} \\ $$$${sequence}\:{a}_{{n}} \\ $$ Answered by Olaf_Thorendsen last updated on 09/Jul/21…
Question Number 145939 by Mathspace last updated on 09/Jul/21 $$\Psi\left({x}\right)={ch}\left({sinx}\right) \\ $$$${developp}\:\Psi\:{at}\:{fourier}\:{serie} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 145809 by puissant last updated on 08/Jul/21 $$\mathrm{prove}\:\mathrm{1}+\mathrm{2}+\mathrm{3}+…..=−\frac{\mathrm{1}}{\mathrm{12}} \\ $$ Answered by Olaf_Thorendsen last updated on 09/Jul/21 $$\mathrm{A}\:=\:\mathrm{1}−\mathrm{1}+\mathrm{1}−\mathrm{1}+\mathrm{1}−… \\ $$$$\mathrm{A}\:=\:\mathrm{1}−\left(\mathrm{1}−\mathrm{1}+\mathrm{1}−\mathrm{1}+\mathrm{1}−…\right) \\ $$$$\mathrm{A}\:=\:\mathrm{1}−\mathrm{A} \\…
Question Number 145748 by mathmax by abdo last updated on 07/Jul/21 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{arctan}\left(\mathrm{2sinx}\right) \\ $$$$\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Answered by mathmax by abdo last updated on 09/Jul/21…
Question Number 145749 by mathmax by abdo last updated on 07/Jul/21 $$\mathrm{g}\left(\mathrm{x}\right)=\mathrm{log}\left(\mathrm{tan}\left(\mathrm{x}\right)\right)\:\mathrm{developp}\:\mathrm{g}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Answered by mathmax by abdo last updated on 10/Jul/21 $$\mathrm{g}\left(\mathrm{x}\right)=\mathrm{log}\left(\frac{\mathrm{sinx}}{\mathrm{cosx}}\right)=\mathrm{log}\left(\mathrm{sinx}\right)−\mathrm{log}\left(\mathrm{cosx}\right) \\…
Question Number 145750 by mathmax by abdo last updated on 07/Jul/21 $$\mathrm{find}\:\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\left(\mathrm{2n}+\mathrm{1}\right)^{\mathrm{3}} \left(\mathrm{n}+\mathrm{3}\right)^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy Contact:…