Question Number 31067 by abdo imad last updated on 02/Mar/18 $${find}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:{x}^{\mathrm{2}{n}} \:{e}^{−{ax}^{\mathrm{2}} } {dx}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 31066 by abdo imad last updated on 02/Mar/18 $${find}\:\:{I}_{{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:{cos}^{\mathrm{2}{n}+\mathrm{1}} {xdx}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31065 by abdo imad last updated on 02/Mar/18 $${find}\:\:\int_{\mathrm{0}} ^{\pi} \:\:\:\frac{{xsinx}}{\left(\mathrm{1}−{acosx}\right)^{\mathrm{2}} }\:{dx}\:{with}\:\:\mid{a}\mid<\mathrm{1}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31063 by abdo imad last updated on 02/Mar/18 $${find}\:{f}\left({t}\right)=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{ln}\left(\mathrm{1}+{tx}^{\mathrm{2}} \right){dxfor}\:\:{t}>−\mathrm{1} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31062 by abdo imad last updated on 02/Mar/18 $${find}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:{e}^{{x}} \:{sinx}\:{cos}^{\mathrm{2}} {xdx}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31061 by abdo imad last updated on 02/Mar/18 $${find}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\left({sin}\theta\:−{cos}\theta\right){ln}\left({sin}\theta+{cos}\theta\right){d}\theta. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31059 by abdo imad last updated on 02/Mar/18 $${find}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:{cos}\left(\mathrm{2}\theta\right){ln}\left({tan}\theta\right){d}\theta. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31060 by abdo imad last updated on 02/Mar/18 $${calculate}\:{by}\:{recurrence}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{lnx}}{\left(\mathrm{1}+{x}\right)^{{n}} }{dx}\:{with}\:{n}\geqslant\mathrm{2}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31058 by abdo imad last updated on 02/Mar/18 $${find}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{x}\:{arctanx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 96595 by Tony Lin last updated on 03/Jun/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{\mathrm{4035}} \left({x}^{\mathrm{4}} +\mathrm{1}\right)^{\mathrm{2017}} \left(\mathrm{3}{x}+\mathrm{1}\right)^{\mathrm{4}} {dx} \\ $$ Terms of Service Privacy Policy Contact:…