Category: Integration

Question Number 219704 by Spillover last updated on 01/May/25 Answered by SdC355 last updated on 01/May/25 $${\int }_0^1\ln (\frac{1}{z}-1)\mathrm{d}z=0$$$$\int_{\mathrm{0}} ^{\:\rho} \:+\int_{\:\rho} ^{\:\mathrm{1}} =\mathrm{0}\:,\:\left(\rho<\mathrm{1}\right)…

Question Number 219763 by Spillover last updated on 01/May/25 Answered by Spillover last updated on 01/May/25 Answered by Spillover last updated on 01/May/25 Answered by…

Question Number 219682 by Nicholas666 last updated on 30/Apr/25 $$$$$${\int }_0^1\frac{\log (1+x)\cdot {\mathrm{Li}}_s\left(x\right)}{x\cdot \zeta (s+1,x)}dx$$$$$$ Terms of Service Privacy Policy Contact:…

Question Number 219620 by Nicholas666 last updated on 29/Apr/25 $$$$$$Prove;$$$${\int }_0^{\mathrm{\infty }}\frac{50x^8}{x^{20}+2x^{10}+1}dx=\varphi \pi$$$$$$ Answered by…

Question Number 219619 by Nicholas666 last updated on 29/Apr/25 $$$$$${\int }_0^{\mathrm{\infty }}{(x^2+1)}^{-1/2}dx$$$$$$ Answered by Ghisom last updated…