Question Number 158902 by mnjuly1970 last updated on 10/Nov/21 $$ \\ $$$$\:\:\:\:\:\:{nice}\:\:{mathematics} \\ $$$$\:\:\:\:\:\:\:#\:{calculate}\:# \\ $$$$\:\:\:\:\:\:\:\:\Omega\::=\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\:\mathrm{1}}{\left(\:\mathrm{6}{n}\:+\:\mathrm{1}\:\right)^{\:\mathrm{3}} }\:=\:? \\ $$$$\:\:\:\:\:\:−−−−−−−−−−−− \\ $$$$ \\ $$…
Question Number 27828 by abdo imad last updated on 15/Jan/18 $${find}\:{the}\:{value}\:{of}\:\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \sqrt{{tanx}}{dx}\:. \\ $$ Commented by NECx last updated on 15/Jan/18 $${thanks}\:{for}\:{this}\:{question}. \\ $$$${I}\:{really}\:{need}\:{the}\:{answer}.…
Question Number 27815 by goswamisubhabrata007@gmail.com last updated on 15/Jan/18 $$\int\frac{\mathrm{cos}\:\mathrm{x}−\mathrm{cos}\:\mathrm{2x}}{\mathrm{1}−\mathrm{cos}\:\mathrm{x}}\mathrm{dx} \\ $$ Answered by ajfour last updated on 15/Jan/18 $$\int\frac{\mathrm{cos}\:{x}−\mathrm{2cos}\:^{\mathrm{2}} {x}+\mathrm{1}}{\mathrm{1}−\mathrm{cos}\:{x}}\:{dx} \\ $$$$=\int\frac{\left(\mathrm{2cos}\:{x}−\mathrm{2cos}\:^{\mathrm{2}} {x}+\mathrm{1}−\mathrm{cos}\:{x}\right)}{\left(\mathrm{1}−\mathrm{cos}\:{x}\right)}\:{dx} \\…
Question Number 27805 by abdo imad last updated on 15/Jan/18 $${find}\:\:\int_{\mathrm{1}} ^{\propto} \:\:\frac{{arctan}\left(\alpha{x}\right)}{{x}^{\mathrm{2}} }\:. \\ $$ Commented by abdo imad last updated on 16/Jan/18 $${let}\:{put}\:{I}=\:\int_{\mathrm{1}}…
Question Number 27804 by abdo imad last updated on 15/Jan/18 $${calculate}\:\:\int_{\mathrm{0}} ^{\propto} \:\:\frac{{e}^{−{ax}} \:−\:{e}^{−{bx}} }{{x}^{\mathrm{2}} }{dx}\:\:{with}\:{a}>\mathrm{0} \\ $$$${b}>{o} \\ $$ Commented by abdo imad last…
Question Number 27802 by abdo imad last updated on 15/Jan/18 $${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{e}^{−\mathrm{2}{x}^{\mathrm{2}} } }{\left(\mathrm{3}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx}\:. \\ $$ Commented by abdo imad last updated…
Question Number 27803 by abdo imad last updated on 15/Jan/18 $${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{arctan}\left({x}\:+{x}^{−\mathrm{1}} \right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 27797 by abdo imad last updated on 14/Jan/18 $${find}\:\:\:\int\:\sqrt{\mathrm{2}+{tan}^{\mathrm{2}} {t}}\:\:{dt}. \\ $$ Commented by abdo imad last updated on 19/Jan/18 $${let}\:{put}\:\:{I}=\:\int\sqrt{\mathrm{2}+{tan}^{\mathrm{2}} {t}}{dt}\:\:\:\: \\…
Question Number 27796 by abdo imad last updated on 14/Jan/18 $${find}\:\:\int\:\:\:\frac{{x}^{\mathrm{2}} }{\left({cosx}\:+{x}\:{sinx}\right)^{\mathrm{2}} }\:\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 27794 by abdo imad last updated on 14/Jan/18 $${let}\:{give}\:\:{I}\left({x}\right)=\:\int_{\mathrm{0}} ^{\pi} {ln}\:\left(\mathrm{1}−\mathrm{2}{x}\:{cost}\:+{x}^{\mathrm{2}} \right){dt}\:{by}\:{using}\:{the} \\ $$$${polynomial}\:{p}\left({x}\right)=\:\left({z}+{x}\right)^{\mathrm{2}{n}} −\mathrm{1}\:\:{find}\:{the}\:{value}\:{of}\:{I}\left({x}\right). \\ $$ Terms of Service Privacy Policy Contact:…