Category: Integration

Question Number 59167 by maxmathsup by imad last updated on 05/May/19 $$findthevalueof\sum _{n=1}^{\mathrm{\infty }}\frac{n^2+1}{n^3{(n+1)}^2}$$ Terms of Service Privacy Policy Contact:…

Question Number 59163 by maxmathsup by imad last updated on 05/May/19 $$calculate{A}_n=\int {\int }_{W_n}\frac{1-\sqrt{x^2+y^2}}{1+\sqrt{x^2+y^2}}dxdywith{W}_n=]\frac{1}{n},n[{}^2$$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} \…

Question Number 59161 by maxmathsup by imad last updated on 05/May/19 $$calculatef\left(a\right)={\int }_0^{\mathrm{\infty }}\frac{ln(a^2+x^2)}{a^2+x^2}dxwith>0$$$$\left.\mathrm{1}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{ln}\left(\mathrm{2}+{x}^{\mathrm{2}} \right)}{\mathrm{2}+{x}^{\mathrm{2}} }{dx}\:\:{and}\:\int_{\mathrm{0}} ^{\infty}…

Question Number 124672 by sdfg last updated on 05/Dec/20 $${\int }_{-3}^{-2}{(y+3)}^6{(y+2)}^{4}dy$$ Commented by mohammad17 last updated on 05/Dec/20 $${put}:{n}={y}+\mathrm{3}\Rightarrow{y}={n}−\mathrm{3}\Rightarrow{dy}={dn} \…

Question Number 124654 by benjo_mathlover last updated on 05/Dec/20 $$\underset{1/\sqrt{2}}{\stackrel{1/2}{\int }}\frac{e^{{\cos }^{-1}\left(x\right)}}{\sqrt{1-x^2}}dx?$$ Commented by mohammad17 last updated on 05/Dec/20 $$…