Category: Integration

Question Number 206200 by Shrodinger last updated on 09/Apr/24 $$\int \frac{xsinx}{1-cosx}dx$$ Answered by Frix last updated on 09/Apr/24 $$\int \frac{x\sin x}{1-\cos x}dx=\mathrm{i}\int \frac{x({\mathrm{e}}^{\mathrm{i}x}+1)}{{\mathrm{e}}^{\mathrm{i}x}-1}dx=$$$$=\mathrm{i}\int{xdx}+\mathrm{2i}\int\frac{{x}}{\mathrm{e}^{\mathrm{i}{x}} −\mathrm{1}}{dx}…

Question Number 206078 by universe last updated on 06/Apr/24 Commented by TheHoneyCat last updated on 10/Apr/24 Can you please give an explicit formula for the a_n please? Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 206096 by RoseAli last updated on 06/Apr/24 $$\int \frac{1}{x^3\sqrt{x^2-1}}.dx$$ Answered by Frix last updated on 07/Apr/24 $$\int\frac{{dx}}{{x}^{\mathrm{3}} \sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:\overset{{t}=\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}…

Question Number 206003 by mnjuly1970 last updated on 04/Apr/24 Answered by Berbere last updated on 04/Apr/24 $$\mathrm{\Omega }={\int }_0^{\mathrm{\infty }}\frac{e^{-x}}{x^2}(1-cos\left(x\right))dx$$$$\Omega\left({a}\right)=\int_{\mathrm{0}} ^{\infty} \frac{{e}^{−{x}}…

Question Number 205928 by mathzup last updated on 03/Apr/24 $$calculate{\int }_0^{\mathrm{\infty }}\frac{dx}{1+x^4+x^8}$$ Answered by Frix last updated on 03/Apr/24 $$\int\frac{{dx}}{{x}^{\mathrm{8}} +{x}^{\mathrm{4}}…