Question Number 38118 by maxmathsup by imad last updated on 21/Jun/18 $${prove}\:{that}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{1}+\frac{{t}^{{a}} }{\mathrm{2}}}{dt}\:=\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{2}^{{n}} \left({na}+\mathrm{1}\right)} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{2}^{{n}} \left(\mathrm{3}{n}+\mathrm{1}\right)}…
Question Number 38116 by maxmathsup by imad last updated on 21/Jun/18 $${find}\:\:\:\:{I}\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{cos}\left(\lambda{x}\right)}{{ch}\left(\mathrm{2}{x}\right)}{dx}\: \\ $$ Commented by prof Abdo imad last updated on 29/Jun/18…
Question Number 38117 by maxmathsup by imad last updated on 21/Jun/18 $${let}\:{x}\:{and}\:{y}\:{from}\:{R}\:{prove}\:{that} \\ $$$$\mid{cos}\left({x}+{iy}\right)\mid={cos}^{\mathrm{2}} {x}\:+{sh}^{\mathrm{2}} {y} \\ $$$$\mid{sin}\left({x}+{iy}\right)\mid^{\mathrm{2}} ={sin}^{\mathrm{2}} {x}\:+{sh}^{\mathrm{2}} {y} \\ $$ Terms of…
Question Number 38114 by maxmathsup by imad last updated on 21/Jun/18 $${let}\:{I}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\:\frac{{dx}}{\left({p}\:+{cost}\right)^{{n}} }\:\:{with}\:{p}>\mathrm{1} \\ $$$${find}\:{the}\:{value}\:{of}\:{I}_{{n}} \\ $$ Commented by abdo mathsup 649…
Question Number 38115 by maxmathsup by imad last updated on 21/Jun/18 $${find}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{sin}\left(\mathrm{2}{x}\right)}{{sh}\left(\mathrm{3}{x}\right)}{dx}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 38113 by maxmathsup by imad last updated on 21/Jun/18 $${let}\:{p}>\mathrm{1}\:{calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\:\:\:\frac{{dt}}{\left({p}\:+{cost}\right)^{\mathrm{2}} } \\ $$ Commented by math khazana by abdo last updated…
Question Number 38111 by maxmathsup by imad last updated on 21/Jun/18 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\frac{{e}^{{x}} \:−\left[{x}\right]}{{x}} \\ $$ Commented by math khazana by abdo last updated on…
Question Number 38110 by maxmathsup by imad last updated on 21/Jun/18 $${let}\:{x}\:{from}\:{R}\:{find}\:{the}\:{value}\:{of} \\ $$$${f}\left({x}\right)=\:\int_{\mathrm{0}} ^{\pi} {ln}\left({x}^{\mathrm{2}} \:−\mathrm{2}{x}\:{cos}\theta\:+\mathrm{1}\right){d}\theta \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 38107 by maxmathsup by imad last updated on 21/Jun/18 $${find}\:{C}\:=\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{{cos}\left({nx}\right)}{{n}^{\mathrm{2}} }{dx}\:\:{and}\:{S}=\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{sin}\left({nx}\right)}{{n}^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy…
Question Number 38106 by maxmathsup by imad last updated on 21/Jun/18 $${calculate}\:\:\int_{\mathrm{0}} ^{+\infty} \:\:{e}^{−\mathrm{3}{t}} {ln}\left(\mathrm{1}+{e}^{{t}} \right){dt}\:. \\ $$ Commented by abdo mathsup 649 cc last…