Category: Integration

Question Number 39017 by maxmathsup by imad last updated on 01/Jul/18 $$find\int \frac{-2x+3}{x^2(x^3+8)}dx$$$$2)calculate{\int }_1^{+\mathrm{\infty }}\frac{-2x+3}{x^2(x^3+8)}dx$$ Commented by math…

Question Number 39016 by maxmathsup by imad last updated on 01/Jul/18 $$calculate{\int }_0^{\pi }\frac{sin\left(nx\right)}{cosx}dxwithnfromN.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 104505 by mathmax by abdo last updated on 22/Jul/20 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{\mathrm{dx}}{{(\mathrm{x}+1)}^2{(\mathrm{x}+2)}^2{(\mathrm{x}+3)}^2}$$ Answered by OlafThorendsen last updated on…

Question Number 104459 by bemath last updated on 21/Jul/20 $$\int \frac{dx}{\sqrt{A\cos x+B}}$$ Commented by Dwaipayan Shikari last updated on 21/Jul/20 $$\int \frac{dx}{\sqrt{Acosx+B}}=\int \frac{A(-sinx)}{-Asinx}.\frac{1}{\sqrt{Acosx+B}}dx\{Acosx+B=t^2$$$$\int\frac{\mathrm{2}{tdt}}{{t}\left(−{Asinx}\right)}=−\frac{\mathrm{2}}{{A}}\int\frac{\mathrm{1}}{{sinx}}{dt}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left\{{cosx}=\left({t}^{\mathrm{2}} −{B}\right).\frac{\mathrm{1}}{{A}}\right.…

Question Number 38896 by math khazana by abdo last updated on 01/Jul/18 $$let{A}_n={\int }_0^n\frac{x\left[x\right]}{1+x^2}dx$$$$1)calculate{A}_n$$$$2)find{lim}_{n\to +\mathrm{\infty }}{A}_n$$ Commented…