Category: Integration

Question Number 65004 by mathmax by abdo last updated on 24/Jul/19 $$let{U}_n={\int }_{\frac{1}{n}}^{\frac{2}{n}}\mathrm{\Gamma }\left(x\right)\mathrm{\Gamma }(1-x)dxwithn⩾3$$$$1)calculateanddetermine{lim}_{n\to +\mathrm{\infty }}{U}_n$$$$2)studytheconvergenceof\mathrm{\Sigma }{U}_n$$ Commented by mathmax…

Question Number 130534 by mathmax by abdo last updated on 26/Jan/21 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)={\mathrm{x}}^7\arctan \left(2\mathrm{x}\right)$$$$1)\mathrm{calculate}{\mathrm{f}}^{\left(4\right)}\left(0\right)\mathrm{and}{\mathrm{f}}^{\left(7\right)}\left(0\right)$$$$2)\mathrm{calculate}{\mathrm{f}}^{\left(5\right)}\left(1\right)$$ Answered by mathmax…

Question Number 130530 by mathmax by abdo last updated on 26/Jan/21 $$\mathrm{find}{\int }_0^{\mathrm{\infty }}\frac{\mathrm{xsin}\left(2\mathrm{x}\right)}{{({\mathrm{x}}^2+\mathrm{x}+1)}^2}\mathrm{dx}$$ Commented by mathmax by abdo last updated…

Question Number 130531 by mathmax by abdo last updated on 26/Jan/21 $$\mathrm{find}{\int }_0^1\arctan ({\mathrm{x}}^2+\mathrm{x}+1)\mathrm{dx}$$ Answered by Lordose last updated on 26/Jan/21 $$…

Question Number 64994 by aliesam last updated on 23/Jul/19 $$\int \sqrt{tanh\left(x\right)}dx$$ Commented by zakaria elghaouti last updated on 24/Jul/19 Answered by zakaria elghaouti last…