Category: Integration

Question Number 65132 by turbo msup by abdo last updated on 25/Jul/19 $$calculate{\int }_0^{\mathrm{\infty }}\frac{tarctan\left(2t\right)}{1+t^4}dt$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 65129 by turbo msup by abdo last updated on 25/Jul/19 $$calculate{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{dx}{{(x^2+x+1)}^3}$$ Commented by mathmax by abdo last…

Question Number 130626 by Lordose last updated on 27/Jan/21 $${\int }_0^{\mathrm{\infty }}\frac{{\mathrm{x}}^4{\tan }^{-1}\left(\mathrm{x}\right)}{1+{\mathrm{x}}^6}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 130616 by bramlexs22 last updated on 27/Jan/21 $$\int \frac{\mathrm{dx}}{1-\mathrm{k}.\sin \mathrm{x}}?\mathrm{where}\mid \mathrm{k}\mid <1$$ Answered by EDWIN88 last updated on 27/Jan/21 $$\mathrm{let}\tan \left(\frac{x}{2}\right)=s\Rightarrow x=2\arctan s$$$$\:{dx}\:=\:\frac{\mathrm{2}{ds}}{{s}^{\mathrm{2}} +\mathrm{1}}\:;\:\mathrm{sin}\:{x}\:=\:\mathrm{2tan}\:\left(\frac{{x}}{\mathrm{2}}\right)\mathrm{cos}\:^{\mathrm{2}} \left(\frac{{x}}{\mathrm{2}}\right) \…

Question Number 130594 by Lordose last updated on 27/Jan/21 $${\int }_0^{\mathrm{\infty }}\frac{{\mathrm{x}}^{\mathrm{n}}}{1+{\mathrm{x}}^6}\mathrm{dx}$$ Answered by mindispower last updated on 27/Jan/21 $$\left.\:\:{existe}\:{if}\:{n}\in\right]−\mathrm{1},\mathrm{5}\left[=\int_{\mathrm{0}} ^{\infty}…