Question Number 121519 by benjo_mathlover last updated on 09/Nov/20 $$\:\:\int\:\frac{\mathrm{1}−\mathrm{x}^{\mathrm{4}} }{\mathrm{x}^{\mathrm{2}} \:\sqrt{\mathrm{x}^{\mathrm{4}} +\mathrm{x}^{\mathrm{2}} +\mathrm{1}}}\:\mathrm{dx}\:? \\ $$ Answered by liberty last updated on 09/Nov/20 $$\:\int\:\frac{\mathrm{1}−\mathrm{x}^{\mathrm{4}} }{\mathrm{x}^{\mathrm{3}}…
Question Number 187050 by normans last updated on 13/Feb/23 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\underset{\mathrm{0}} {\int}^{\frac{\boldsymbol{\pi}}{\mathrm{4}}} \:\:\frac{\boldsymbol{{cos}}^{−\mathrm{1}} \boldsymbol{{x}}\:+\:\boldsymbol{{cos}}\:\boldsymbol{{x}}}{\boldsymbol{{Ln}}\:\boldsymbol{{x}}}\:\:\boldsymbol{{dx}}\:=??\:\:\: \\ $$$$ \\ $$ Commented by Frix last updated on…
Question Number 121498 by Lordose last updated on 08/Nov/20 $$ \\ $$$$\mathrm{Evaluate} \\ $$$$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{sin}\left(\mathrm{n}\right)}{\mathrm{n}} \\ $$ Answered by Bird last updated on 09/Nov/20…
Question Number 121500 by bramlexs22 last updated on 08/Nov/20 $$\:\left(\mathrm{1}\right)\:\int\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{4}} +\mathrm{2x}^{\mathrm{2}} +\mathrm{9}}\:? \\ $$$$\left(\mathrm{2}\right)\:\mathrm{arc}\:\mathrm{tan}\:\left(\frac{\mathrm{x}}{\mathrm{3}}\right)−\mathrm{arc}\:\mathrm{tan}\:\left(\frac{\mathrm{x}}{\mathrm{3}}\right)=\:\mathrm{arc}\:\mathrm{tan}\:\left(\frac{\mathrm{1}}{\mathrm{5}}\right) \\ $$ Commented by benjo_mathlover last updated on 08/Nov/20 $$\mathrm{i}\:\mathrm{think}\:\mathrm{it}\:\mathrm{should}\:\mathrm{be}\: \\…
Question Number 121492 by mathmax by abdo last updated on 08/Nov/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{+\infty} \:\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{4}} +\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Answered by mnjuly1970 last updated on 09/Nov/20…
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Question Number 121466 by sdfg last updated on 08/Nov/20 $$\int\sqrt{{cos}\left({x}\right)\:{dx}} \\ $$ Commented by MJS_new last updated on 08/Nov/20 $$\int\sqrt{\mathrm{cos}\:{x}\:{dx}}\:\mathrm{or}\:\int\sqrt{\mathrm{cos}\:{x}}\:{dx}? \\ $$ Commented by sdfg…
Question Number 55930 by ajfour last updated on 06/Mar/19 $$\int_{\mathrm{0}} ^{\:\:\pi} \frac{{x}\mathrm{tan}\:{x}}{\mathrm{sec}\:{x}+\mathrm{tan}\:{x}}{dx}\:=\:\left({is}\:{it}\:\frac{\pi^{\mathrm{2}} }{\mathrm{2}}−\pi\right)? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 06/Mar/19 $$\int_{\mathrm{0}} ^{\pi} \frac{{xsinx}}{\mathrm{1}+{sinx}}{dx}…
Question Number 186973 by manlikeAkin last updated on 12/Feb/23 $$\int\mathrm{5}{x} \\ $$ Commented by mr W last updated on 12/Feb/23 $${there}\:{exists}\:{no}\:{such}\:{a}\:{thing}\:\int\mathrm{5}{x}\:{in} \\ $$$${mathematics}! \\ $$…
Question Number 55873 by Easyman32 last updated on 05/Mar/19 $${Integrate}..\int\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\sqrt{{x}}}}\:{dx} \\ $$ Commented by maxmathsup by imad last updated on 05/Mar/19 $${let}\:{I}\:=\int\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\sqrt{{x}}}}\:{dx}\:\:\:{changement}\:\sqrt{\mathrm{1}+\sqrt{{x}}}={t}\:{give}\:\mathrm{1}+\sqrt{{x}}={t}^{\mathrm{2}} \:\Rightarrow \\ $$$$\sqrt{{x}}={t}^{\mathrm{2}}…