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Question Number 85236 by jagoll last updated on 20/Mar/20 $$\mathrm{find}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{if}\: \\ $$$$\mathrm{f}\:'\left(\mathrm{x}\right)\:+\:\mathrm{f}\left(\mathrm{x}^{\mathrm{2}} \right)\:=\:\mathrm{2x}+\mathrm{1} \\ $$ Commented by mathmax by abdo last updated on 20/Mar/20 $${its}\:{clear}\:{that}\:{f}\:{is}\:{polynomial}\:{let}\:{f}\left({x}\right)=\sum_{{n}=\mathrm{0}}…
Question Number 19666 by Joel577 last updated on 14/Aug/17 $$\int\:{x}^{\mathrm{4}} \sqrt{{x}^{\mathrm{2}} \:+\:\mathrm{1}}\:{dx} \\ $$ Answered by ajfour last updated on 14/Aug/17 $$\:\mathrm{I}=\frac{\mathrm{1}}{\mathrm{2}}\int\mathrm{x}^{\mathrm{3}} \left(\mathrm{2x}\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\:\right)\mathrm{dx} \\…
Question Number 150728 by ali1245 last updated on 14/Aug/21 Answered by tabata last updated on 15/Aug/21 $$\mathrm{2}{I}=_{{z}={x}\:} {Re}\:\left(\int_{−\infty} ^{\:\infty} \:\frac{{z}^{\:{a}−\mathrm{1}} }{\left({z}^{\mathrm{2}} +{c}\right)\left({z}^{\mathrm{2}} +{b}\right)}{dz}\right) \\ $$$$…
Question Number 85191 by sahnaz last updated on 19/Mar/20 $$\int\frac{\mathrm{z}+\mathrm{2}}{\mathrm{z}} \\ $$ Answered by sahnaz last updated on 19/Mar/20 $$\mathrm{dz} \\ $$ Answered by MJS…
Question Number 150721 by cesarL last updated on 14/Aug/21 $${calculate}\:{the}\:{convergence}\:{interval}\:{of}\:{the} \\ $$$${serie} \\ $$$$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} {x}^{\mathrm{2}{n}} }{{n}!} \\ $$ Answered by ArielVyny last updated…
Question Number 85166 by mathmax by abdo last updated on 19/Mar/20 $${find}\:\int\:\:\left({x}^{\mathrm{2}} −\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} \:+\mathrm{1}}{dx} \\ $$ Commented by john santu last updated on 21/Mar/20 $$\mathrm{let}\:\mathrm{K}\:=\:\int\:\mathrm{x}^{\mathrm{2}}…
Question Number 85167 by mathmax by abdo last updated on 19/Mar/20 $${let}\:\varphi\left({x}\right)=\Gamma\left({x}\right).\Gamma\left(\mathrm{1}−{x}\right)\:\:{find}\:\int_{\frac{\mathrm{1}}{\mathrm{3}}} ^{\frac{\mathrm{1}}{\mathrm{2}}} {ln}\left(\varphi\left({x}\right)\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 85162 by mathmax by abdo last updated on 19/Mar/20 $$\left.\mathrm{1}\right){find}\:\int\:{ln}\left(\sqrt{{x}}+\sqrt{{x}+\mathrm{1}}\right){dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\sqrt{{x}}+\sqrt{{x}+\mathrm{1}}\right){dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 85160 by mathmax by abdo last updated on 19/Mar/20 $$\left.\mathrm{1}\right)\:{find}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{{x}^{\mathrm{4}} \:+{a}}\:{with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{g}\left({a}\right)=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{4}} \:+{a}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{3}\right)\:{find}\:{value}\:{of}\:{integrals}\:\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{{x}^{\mathrm{4}}…