Category: Integration

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}…

Question Number 34561 by math khazana by abdo last updated on 08/May/18 $$findthevalueof{\int }_0^{+\mathrm{\infty }}\frac{arctan\left(x\right)}{{(1+x^2)}^2}dx$$ Commented by math khazana by abdo…

Question Number 100089 by mathmax by abdo last updated on 24/Jun/20 $$\mathrm{calculate}{\mathrm{A}}_{\mathrm{n}}={\int }_0^{\frac{\pi }{2}}\frac{{\sin }^{\mathrm{n}}\left(\mathrm{x}\right)}{\sin \left(\mathrm{nx}\right)}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 165615 by cortano1 last updated on 05/Feb/22 $${\int }_0^1\frac{dx}{\sqrt{x}(\sqrt[3]{x}+\sqrt[4]{x})}=?$$ Answered by Ar Brandon last updated on 05/Feb/22 $${I}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{dx}}{\:\sqrt{{x}}\left(\sqrt[{\mathrm{3}}]{{x}}+\sqrt[{\mathrm{4}}]{{x}}\right)}\:,\:{x}={t}^{\mathrm{12}}…