Category: Integration

Question Number 60025 by selimatas01 last updated on 17/May/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 59999 by Mr X pcx last updated on 16/May/19 $$let{U}_n={\int }_0^{\mathrm{\infty }}\frac{e^{-n\left[x^2\right]}}{{(x^2+3)}^2}dx$$$$1)find{U}_{n}intermsofn$$$$\left.\mathrm{2}\right)\:{calvulate}\:\:{lim}_{{n}\rightarrow+\infty} \:\:\:{U}_{{n}}…

Question Number 59991 by selimatas01 last updated on 16/May/19 Commented by Mr X pcx last updated on 16/May/19 $$letI={\int }_0^{\mathrm{\infty }}\frac{cosx}{{(x^2+1)}^2}dx\Rightarrow$$$$\mathrm{2}{I}\:=\int_{−\infty}…

Question Number 191049 by Mingma last updated on 16/Apr/23 Commented by Mingma last updated on 17/Apr/23 Nice solution, sir! Answered by aleks041103 last updated on 17/Apr/23 $${cos}\left({sin}\left({x}\right)\right)={Re}\left({exp}\left({i}\:{sin}\left({x}\right)\right)\right)…

Question Number 125506 by mathmax by abdo last updated on 11/Dec/20 $$\mathrm{let}\mathrm{C}=\{\mathrm{z}/\mid \mathrm{z}\mid =2\}\mathrm{find}{\int }_{\mathrm{C}}\frac{{\mathrm{z}}^2\mathrm{sinz}\mathrm{cosz}}{{({\mathrm{z}}^2+1)}^2}\mathrm{dz}$$ Commented by ZiYangLee last updated on 11/Dec/20…