Category: Integration

Question Number 122626 by rs4089 last updated on 18/Nov/20 Answered by Dwaipayan Shikari last updated on 18/Nov/20 $$S=1-1+1-1+1-1+\dots =\frac{1}{1+1}=\frac{1}{2}$$$$Butactuallysumdoesnotexist$$$$\zeta\left(\mathrm{1}−{s}\right)=\mathrm{2}^{\mathrm{1}−{s}} \pi^{−{s}} {cos}\left(\frac{\pi{s}}{\mathrm{2}}\right)\Gamma\left({s}\right)\zeta\left({s}\right) \…

Question Number 122614 by john santu last updated on 18/Nov/20 Answered by liberty last updated on 18/Nov/20 $$F=\int \frac{dx}{\sqrt{x^2+1}(x^2+x+1)}$$$$Bytrigonometrysubstitutionmethod$$$${let}\:{x}=\:\mathrm{tan}\:\theta\: \…

Question Number 122588 by bramlexs22 last updated on 18/Nov/20 $$Findthe\mathrm{arc}lengthofthecurve$$$$x=\frac{1}{4}{y}^2-\frac{1}{2}\ln \left(y\right)betweenthepoints$$$$withtheordinatesy=1andy=2.$$$$$$ Answered by MJS_new last updated on…

Question Number 122572 by rs4089 last updated on 18/Nov/20 Answered by Olaf last updated on 18/Nov/20 $$\mathrm{With}{\mathrm{Euler}}^{\prime }\mathrm{s}\mathrm{Gamma}\mathrm{function}\mathrm{\Gamma }:$$$${\int }_0^{\mathrm{\infty }}{e}^{-x}\ln xdx={\mathrm{\Gamma }}^{\prime }\left(1\right)=-\gamma$$$$\mathrm{where}\:\gamma\:\mathrm{is}\:\mathrm{the}\:\mathrm{Euler}−\mathrm{Mascheroni} \…

Question Number 122544 by bramlexs22 last updated on 18/Nov/20 $$anyonecanexplainmeabout$$$$Fresnelintegral?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com