Question Number 92976 by frc2crc last updated on 10/May/20 $${define} \\ $$$$\Delta_{{n}} =\frac{{n}\left(\mathrm{1}+{n}\right)}{\mathrm{2}} \\ $$$${find}\:{a}\:{closer}\:{form}\:{for} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\Delta_{{n}} ^{{m}} } \\ $$ Answered by…
Question Number 92971 by abdomathmax last updated on 10/May/20 $$\left.\mathrm{1}\right)\:{decompose}\:{F}\left({x}\right)\:=\frac{\mathrm{1}}{{x}^{\mathrm{4}} \left({x}−\mathrm{3}\right)^{\mathrm{5}} } \\ $$$$\left.\mathrm{2}\right){calculate}\:\int_{\mathrm{5}} ^{+\infty} \:\frac{{dx}}{{x}^{\mathrm{4}} \left({x}−\mathrm{3}\right)^{\mathrm{5}} } \\ $$ Commented by mathmax by abdo…
Question Number 92960 by i jagooll last updated on 10/May/20 $$\int\:\frac{\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}\:\mathrm{dx}}{\left(\mathrm{1}+\mathrm{cos}\:\mathrm{x}\right)^{\mathrm{2}} }\: \\ $$ Answered by i jagooll last updated on 10/May/20 $$\frac{\mathrm{1}−\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}{\left(\mathrm{1}+\mathrm{cos}\:\mathrm{x}\right)^{\mathrm{2}}…
Question Number 158492 by bobhans last updated on 05/Nov/21 $$\:\int\:\frac{\mathrm{dx}}{\mathrm{1}+\mathrm{x}^{\mathrm{7}} }\:? \\ $$ Answered by Ar Brandon last updated on 05/Nov/21 $${x}^{\mathrm{7}} +\mathrm{1}=\mathrm{0}\Rightarrow{x}^{\mathrm{7}} ={e}^{\left(\mathrm{2}{k}+\mathrm{1}\right){i}\pi} \Rightarrow{x}_{{k}}…
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Question Number 92949 by Ar Brandon last updated on 09/May/20 $$\int\frac{\mathrm{1}}{\mathrm{x}}\mathrm{sin}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)\:\mathrm{dx} \\ $$ Commented by mathmax by abdo last updated on 10/May/20 $${I}\:=\int\:\frac{\mathrm{1}}{{x}}{sin}\left(\frac{\mathrm{1}}{{x}}\right){dx}\:\:{changement}\:\frac{\mathrm{1}}{{x}}={t}\:{give} \\ $$$${I}\:=\int{t}\:{sint}\:\left(−\frac{{dt}}{{t}^{\mathrm{2}}…
Question Number 92952 by M±th+et+s last updated on 10/May/20 $$\int_{−\mathrm{2}} ^{\mathrm{2}} {x}^{\mathrm{3}} \left({cos}\left(\frac{{x}}{\mathrm{2}}\right)+\frac{\mathrm{1}}{\mathrm{2}}\right)\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }\:{dx} \\ $$ Commented by turbo msup by abdo last updated on…
Question Number 27410 by math1967 last updated on 06/Jan/18 $$\underset{\mathrm{0}} {\overset{\infty} {\int}}\frac{{sinxdx}}{{x}} \\ $$ Commented by math1967 last updated on 07/Jan/18 $${Thank}\:{you}\:{sir} \\ $$ Commented…
Question Number 92940 by mathmax by abdo last updated on 09/May/20 $${prove}\:{that}\:\Gamma\left({x}\right).\Gamma\left(\mathrm{1}−{x}\right)\:=\frac{\pi}{{sin}\left(\pi{x}\right)}\:\:{with}\:\mathrm{0}<{x}<\mathrm{1} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 92938 by mathmax by abdo last updated on 09/May/20 $${find}\:\int\:\:\:\:\frac{{dx}}{\left(\mathrm{1}+{cosx}\right)\left(\mathrm{3}−{sin}^{\mathrm{2}} {x}\right)} \\ $$ Answered by niroj last updated on 10/May/20 $$ \\ $$$$\:\:\int\frac{\left(\mathrm{1}−\mathrm{cos}\:\mathrm{x}\right)\mathrm{dx}}{\left(\mathrm{1}−\mathrm{cos}^{\mathrm{2}}…