Question Number 30796 by prof Abdo imad last updated on 25/Feb/18 $${find}\:\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−\left({x}^{\mathrm{2}} \:+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)} \:{dx}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 30776 by abdo imad last updated on 25/Feb/18 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{xdx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\sqrt{\mathrm{1}−{x}^{\mathrm{4}} }}\:. \\ $$ Commented by supungamage001 last updated on 25/Feb/18 Answered…
Question Number 30777 by abdo imad last updated on 25/Feb/18 $${find}\:{interms}\:{of}\:{n}\:\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:\frac{{ln}\left({x}\right)}{\left(\mathrm{1}+{x}^{} \right)^{{n}} }\:{dx}\:{with}\:{n}\:{from} \\ $$$${N}\:{and}\:{n}\geqslant\mathrm{3}\:. \\ $$ Terms of Service Privacy Policy…
Question Number 30775 by abdo imad last updated on 25/Feb/18 $$\left.{let}\alpha\:\in\right]\mathrm{0},\pi\left[\:\:{calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{dx}}{\mathrm{2}\left({cos}\alpha\:+{chx}\right)}\:.\right. \\ $$ Commented by prof Abdo imad last updated on 25/Feb/18 $${we}\:{have}\:{I}\:=\:\int_{\mathrm{0}}…
Question Number 30774 by abdo imad last updated on 25/Feb/18 $${find}\:{f}\left({t}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \:{ln}\left(\mathrm{1}+{tx}^{\mathrm{2}} \right){dx}\:\:{with}\:{t}>\mathrm{0} \\ $$ Commented by abdo imad last updated on 26/Feb/18 $${let}\:{put}\:\sqrt{{t}}\:{x}={u}\:\Rightarrow{f}\left({t}\right)=\:\int_{\mathrm{0}}…
Question Number 30773 by abdo imad last updated on 25/Feb/18 $${let}\:{a}>\mathrm{0}\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} \right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{x}^{\mathrm{2}} }{\left({x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx}. \\…
Question Number 30769 by abdo imad last updated on 25/Feb/18 $${find}\:{the}\:{value}\:{of}\:{I}=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \sqrt{{x}^{\mathrm{2}} \:+\mathrm{2}{x}\:+\mathrm{2}}}\:. \\ $$ Commented by abdo imad last updated on 27/Feb/18…
Question Number 30767 by abdo imad last updated on 25/Feb/18 $${calculate}\:\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{\mathrm{1}−\sqrt{{x}}}{\mathrm{1}−^{{n}} \sqrt{{x}}}{dx}. \\ $$ Commented by abdo imad last updated on 25/Feb/18…
Question Number 96302 by mathmax by abdo last updated on 31/May/20 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{arctan}\left(\mathrm{2x}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 161839 by mathmax by abdo last updated on 23/Dec/21 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{2}\right)^{\mathrm{2}} } \\ $$ Answered by ArielVyny last updated on 23/Dec/21…