Category: Integration

Question Number 40870 by math khazana by abdo last updated on 28/Jul/18 $$fnd\int (1+\frac{1}{x^2})arctan(x-\frac{1}{x})dx.$$ Commented by maxmathsup by imad last updated on 29/Jul/18…

Question Number 106392 by Ar Brandon last updated on 05/Aug/20 $${\int }_0^{\mathrm{\infty }}\sqrt{\frac{2\mathrm{t}+3}{{5\mathrm{t}}^3+{3\mathrm{t}}^2+2}}\mathrm{dt}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 171910 by Tawa11 last updated on 21/Jun/22 $$\int \frac{\mathrm{dx}}{9-{4\mathrm{x}}^2}$$$$\mathrm{using}\mathrm{the}\mathrm{trigonometric}\mathrm{substitution}.$$ Answered by aleks041103 last updated on 21/Jun/22 $$\int\frac{{dx}}{\mathrm{9}−\mathrm{4}{x}^{\mathrm{2}} }=\frac{\mathrm{1}}{\mathrm{9}}\int\frac{{dx}}{\mathrm{1}−\left(\frac{\mathrm{2}{x}}{\mathrm{3}}\right)^{\mathrm{2}} }=\frac{\mathrm{1}}{\mathrm{9}}\:\frac{\mathrm{3}}{\mathrm{2}}\int\frac{{du}}{\mathrm{1}−{u}^{\mathrm{2}}…

Question Number 40829 by math khazana by abdo last updated on 28/Jul/18 $$letf\left(t\right)={\int }_0^{\mathrm{\infty }}\frac{arctan\left(tx\right)}{x^3+8}dx$$$$1)findasimpleformoff\left(t\right)$$$$2)calculate{\int }_0^{\mathrm{\infty }}\frac{arctan\left(x\right)}{x^3+8}dx.$$…

Question Number 40823 by math khazana by abdo last updated on 28/Jul/18 $$calculate{\int }_0^{\frac{\pi }{2}}\sqrt{{cos}^{2}x+3{sin}^{2}x}dx$$ Commented by maxmathsup by imad last…