Category: Integration

Question Number 34662 by math khazana by abdo last updated on 09/May/18 $$calculateI\left(a\right)={\int }_{\frac{1}{a}}^a\frac{ln\left(x\right)}{1+x^2}dxwitha>0$$$$2)calculate{\int }_0^{+\mathrm{\infty }}\frac{ln\left(x\right)}{1+x^2}dx.$$ Terms of…

Question Number 100190 by  M±th+et+s last updated on 25/Jun/20 $${\int }_0^1(\frac{x^x}{{(1-x)}^{1-x}}-\frac{{(1-x)}^{1-x}}{x^x})dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 100189 by Dwaipayan Shikari last updated on 25/Jun/20 $$\int {tan}^{i}xdx$$ Answered by maths mind last updated on 25/Jun/20 $$=\int\frac{{u}^{{i}} }{\left(\mathrm{1}+{u}\mathrm{2}\right)}{du} \…

Question Number 34633 by math khazana by abdo last updated on 09/May/18 $$letf\left(\alpha \right)={\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{arctan(1+\alpha xi)}{1+x^2}dx$$$$findf\left(\alpha \right).$$ Terms of Service Privacy Policy…

Question Number 34593 by abdo mathsup 649 cc last updated on 08/May/18 $$1)calculate{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{cos\left(\alpha x^n\right)}{x^2+x+1}dxwithnintegr$$$$natural$$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\:\int_{−\infty} ^{\infty} \:\:\:\:\frac{{cos}\left(\:\alpha\:{x}^{\mathrm{2}{n}} \right)}{{x}^{\mathrm{2}} \:+{x}\:+\mathrm{1}}{dx}…