Question Number 105411 by Ar Brandon last updated on 28/Jul/20 $$\int\frac{{x}^{\mathrm{2}} +\mathrm{3}}{{x}^{\mathrm{6}} \left({x}^{\mathrm{2}} +\mathrm{1}\right)}\mathrm{d}{x} \\ $$$${I}\mathrm{s}\:{there}\:{any}\:{special}\:{method}\:{of}\:{decomposition} \\ $$$${other}\:{than}\:{the}\:{use}\:{of}\:{partial}\:{fractions}\:? \\ $$ Answered by Dwaipayan Shikari last…
Question Number 105399 by mathmax by abdo last updated on 28/Jul/20 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{x}^{\mathrm{2}} \mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{2x}^{\mathrm{2}} \:+\mathrm{3}\right)} \\ $$ Terms of Service Privacy Policy…
Question Number 105393 by john santu last updated on 28/Jul/20 $$\underset{−\pi} {\overset{\pi} {\int}}\:\frac{{x}\:\mathrm{sin}\:{x}\:{dx}}{\left(\mathrm{1}+{x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)\sqrt{\mathrm{3}+\mathrm{sin}\:^{\mathrm{2}} {x}}} \\ $$ Answered by maths mind last updated on 29/Jul/20…
Question Number 105386 by bemath last updated on 28/Jul/20 $$\int\:\frac{{x}^{\mathrm{3}} }{\:\sqrt{\left({a}^{\mathrm{2}} +{x}^{\mathrm{2}} \right)^{\mathrm{3}} }}\:{dx}\: \\ $$ Answered by john santu last updated on 28/Jul/20 $${by}\:{substitute}\:{x}\:=\:{a}\:\mathrm{tan}\:\theta…
Question Number 39840 by math khazana by abdo last updated on 12/Jul/18 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\int_{{x}+\mathrm{1}} ^{{x}^{\mathrm{2}} \:+\mathrm{1}} \:\:{ln}\left(\mathrm{1}+{t}\right)\:{e}^{−{t}} {dt}\: \\ $$ Commented by abdo mathsup 649…
Question Number 39838 by math khazana by abdo last updated on 12/Jul/18 $${find}\:{lim}_{\xi\rightarrow\mathrm{0}} \:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\frac{{dx}}{\:\sqrt{\mathrm{1}+\xi{x}^{\mathrm{2}} }−\sqrt{\mathrm{1}−\xi{x}^{\mathrm{2}} }}\: \\ $$ Commented by maxmathsup by imad…
Question Number 39836 by math khazana by abdo last updated on 12/Jul/18 $${calculate}\:\:\int_{\mathrm{0}} ^{+\infty} \frac{{ln}\left(\mathrm{1}+{ix}^{\mathrm{2}} \right)}{\mathrm{2}+{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 39833 by math khazana by abdo last updated on 12/Jul/18 $${find}\:\:\int\:\:\:\:\frac{{ln}\left({x}+\sqrt{{x}^{\mathrm{2}} \:−\mathrm{1}}\right)}{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:{dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{2}} ^{\mathrm{5}} \:\:\:\frac{{ln}\left({x}+\sqrt{{x}^{\mathrm{2}} \:−\mathrm{1}}\right.}{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{dx} \\ $$ Commented by…
Question Number 39834 by math khazana by abdo last updated on 12/Jul/18 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{6}}} \:\mid\:{cos}\left(\mathrm{2}{x}\right)−{cos}\left(\mathrm{3}{x}\right)\mid{dx} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 12/Jul/18 $$\int_{\mathrm{0}}…
Question Number 105353 by abdomsup last updated on 28/Jul/20 $${solve}\:{y}^{''\:} +\mathrm{2}{y}^{'} −{y}\:={x}^{{n}} \:{e}^{−{x}} \\ $$$${n}\:{integr}\:{natural} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com