Category: Integration

Question Number 85603 by M±th+et£s last updated on 23/Mar/20 $$provetherelation$$$${\int }_0^1\frac{{li}_5\left(\sqrt[5]{x}\right)}{\sqrt[5]{x}}dx=\frac{5}{4}(\frac{25}{3072}-\frac{\zeta \left(2\right)}{2^6}+\frac{\zeta \left(3\right)}{2^4}-\frac{\zeta \left(4\right)}{2^2}+\zeta \left(5\right))$$ Terms of Service Privacy Policy…

Question Number 85592 by sahnaz last updated on 23/Mar/20 $$\int \frac{{(\mathrm{u}+1)}^2}{{\mathrm{u}}^3+\mathrm{u}}\mathrm{du}$$ Answered by john santu last updated on 23/Mar/20 $$\int\:\frac{\mathrm{1}}{{x}}{dx}\:+\:\int\:\frac{\mathrm{2}}{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx} \…

Question Number 85591 by sahnaz last updated on 23/Mar/20 $$\int \frac{1+4\mathrm{u}}{-{4\mathrm{u}}^2+2\mathrm{u}+2}\mathrm{du}$$$$$$ Answered by john santu last updated on 23/Mar/20 $$−\frac{\mathrm{1}}{\mathrm{2}}\int\:\frac{\mathrm{2}}{\mathrm{3}\left(\mathrm{2}{u}+\mathrm{1}\right)}{du}+\int\:\frac{\mathrm{5}}{\mathrm{3}\left({u}−\mathrm{1}\right)}{du} \…

Question Number 85589 by sahnaz last updated on 23/Mar/20 $$\int \frac{1+4\mathrm{u}}{-{4\mathrm{u}}^2+2\mathrm{u}+2}\mathrm{du}$$$$$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 85568 by jagoll last updated on 23/Mar/20 $$\int \underset{0}{\stackrel{2\pi }{}}\frac{\mathrm{dx}}{\sqrt{2}-\cos \mathrm{x}}$$ Commented by jagoll last updated on 23/Mar/20 $$\mathrm{I}\:=\:\int\underset{\mathrm{0}} {\overset{\mathrm{2}\pi} {\:}}\:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{2}}−\mathrm{cos}\:\mathrm{x}} \…