Question Number 33334 by prof Abdo imad last updated on 14/Apr/18 $${decompose}\:{F}\left({x}\right)=\:\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{4}} \:−\mathrm{1}}\:{imside}\:{R}\left({x}\right)\: \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\:\:\int_{\mathrm{2}} ^{+\infty} \:\:\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{4}} \:−\mathrm{1}}\:\:. \\ $$ Commented by prof…
Question Number 33331 by prof Abdo imad last updated on 14/Apr/18 $${calcilate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{3}} } \\ $$ Commented by math khazana by abdo last…
Question Number 33328 by prof Abdo imad last updated on 14/Apr/18 $${find}\:\:\:\int_{\frac{\pi}{\mathrm{4}}} ^{\frac{\mathrm{4}}{\pi}} \:\:\left(\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right){arctanx}\:{dx} \\ $$ Commented by math khazana by abdo last updated…
Question Number 33329 by prof Abdo imad last updated on 14/Apr/18 $${find}\:\:\int\:\:\:\frac{{dx}}{\:\sqrt{\mathrm{4}{x}−{x}^{\mathrm{2}} }}\:. \\ $$ Commented by prof Abdo imad last updated on 19/Apr/18 $${I}\:\:=\:\int\:\:\:\:\:\frac{{dx}}{\:\sqrt{−{x}^{\mathrm{2}}…
Question Number 33327 by prof Abdo imad last updated on 14/Apr/18 $${find}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{dx}}{\mathrm{3}\:+{e}^{−{x}} } \\ $$ Commented by math khazana by abdo last updated…
Question Number 164395 by amin96 last updated on 16/Jan/22 Answered by mnjuly1970 last updated on 17/Jan/22 Commented by mnjuly1970 last updated on 17/Jan/22 $$\:\:{thank}\:{you}\:{so}\:{much}\:{my}\:{dear}\:{friend} \\…
Question Number 33310 by abdo imad last updated on 14/Apr/18 $${let}\:{consider}\:{the}\:\mathrm{2}\pi\:{periodic}?{function}\:\:{f}\left({x}\right)\:={e}^{{x}} \\ $$$$\left.\mathrm{1}\right)\:{developp}\:{f}\:{at}\:{fourier}\:{serie} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{2}} \:+\mathrm{1}} \\ $$ Terms of Service Privacy…
Question Number 33311 by abdo imad last updated on 14/Apr/18 $${let}\:\:{f}\left({x}\right)\:=\mid{sinx}\mid\:\:\left(\mathrm{2}\pi\:{periodic}\:{even}\right) \\ $$$${developp}\:{f}\:{at}\:{fourier}\:{serie} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 33297 by abdo imad last updated on 14/Apr/18 $${find}\:\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:{ln}\left(\mathrm{1}+{x}\:{sin}\theta\right){d}\theta\:\:\:{with}\:\:\mathrm{0}<{x}<\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:{ln}\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}{sin}\theta\right){d}\theta \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 98831 by bramlex last updated on 16/Jun/20 Commented by john santu last updated on 16/Jun/20 $$\int\:\frac{\mathrm{2}\:\mathrm{dx}}{\mathrm{x}^{\mathrm{8}} \left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{7}} }\right)}\:=\:\int\:\frac{\mathrm{2d}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{7}} }\right)}{\mathrm{7}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{7}} }\right)} \\ $$$$=\:\frac{\mathrm{2}}{\mathrm{7}}\:\mathrm{ln}\:\left(\frac{\mathrm{x}^{\mathrm{7}} −\mathrm{1}}{\mathrm{x}^{\mathrm{7}}…