Category: Integration

Question Number 70594 by mathmax by abdo last updated on 06/Oct/19 $$calculatebyresidusmethodtheintegral{\int }_0^{\mathrm{\infty }}\frac{dx}{{(1+x^2)}^n}$$$$withnintegrandn⩾1$$ Commented by mathmax by abdo…

Question Number 70571 by ahmadshahhimat775@gmail.com last updated on 05/Oct/19 Commented by mathmax by abdo last updated on 05/Oct/19 $$\left.\exists\:{c}\:\in\right]\mathrm{3},\mathrm{3}+{h}\left[\:/\int_{\mathrm{3}} ^{{h}+\mathrm{3}} \:\frac{\mathrm{5}{dx}}{{x}^{\mathrm{3}} \:+\mathrm{7}}\:=\frac{\mathrm{5}}{{c}^{\mathrm{3}} \:+\mathrm{7}}\:\int_{\mathrm{3}} ^{{h}+\mathrm{3}} {dx}=\frac{\mathrm{5}{h}}{{c}^{\mathrm{3}}…

Question Number 5026 by gourav~ last updated on 04/Apr/16 $$\int \frac{16}{x^2\sqrt{4-9x^2}}dx=?$$$$$$ Answered by Yozzii last updated on 04/Apr/16 $${Let}\:{x}=\frac{\mathrm{2}}{\mathrm{3}}{cosy}\Rightarrow{dx}=−\frac{\mathrm{2}}{\mathrm{3}}{sinydy} \…

Question Number 136067 by bramlexs22 last updated on 18/Mar/21 $$\mathrm{\Lambda }=\int x^3{(x^3+1)}^{10}dx$$ Answered by Olaf last updated on 18/Mar/21 $$\Lambda\:=\:\int{x}^{\mathrm{3}} \left({x}^{\mathrm{3}} +\mathrm{1}\right)^{\mathrm{10}}…

Question Number 136036 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{\mathrm{logx}}{{\mathrm{x}}^4+{\mathrm{x}}^2+1}\mathrm{dx}$$ Commented by Ajetunmobi last updated on 18/Mar/21…