Category: Integration

Question Number 152088 by rexford last updated on 25/Aug/21 $${\int }_0^{\frac{\mathrm{\Pi }}{2}}\mid sinx-cosx\mid$$$$pleasehelpmeout$$ Answered by Olaf_Thorendsen last updated on 25/Aug/21 $$\mathrm{I}\:=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…

Question Number 152047 by talminator2856791 last updated on 25/Aug/21 $$$$$${\int }_0^{\mathrm{\infty }}\frac{x^2+1}{\sqrt{x^x}}dx$$$$$$ Terms of Service Privacy Policy…

Question Number 86484 by Ar Brandon last updated on 28/Mar/20 $$\int \frac{x^6}{1+x^{12}}dx$$ Commented by Ar Brandon last updated on 29/Mar/20 Hi mathmax, I don't understand the second line of your solution. How did you do that ? Commented…

Question Number 20939 by Hitler last updated on 08/Sep/17 $$\mathrm{Demostration}\mathrm{of}\mathrm{the}\mathrm{volume}\mathrm{of}\mathrm{an}\mathrm{sphere}\mathrm{V}=\frac{4\pi {\mathrm{r}}^3}{3}$$$${\mathrm{x}}^2+{\mathrm{y}}^2+{\mathrm{z}}^2={\mathrm{r}}^2\mathrm{We}\mathrm{divide}\mathrm{the}\mathrm{sphere}\mathrm{in}8\mathrm{parts}.\mathrm{So}\mathrm{the}\mathrm{volume}\mathrm{of}\mathrm{a}\mathrm{part}\mathrm{is}$$$$\int_{\mathrm{0}} ^{\:\mathrm{r}} \int_{\mathrm{0}} ^{\:\sqrt{\mathrm{r}^{\mathrm{2}} −\mathrm{x}^{\mathrm{2}} }} \sqrt{\mathrm{r}^{\mathrm{2}}…

Question Number 86447 by Chi Mes Try last updated on 28/Mar/20 Commented by mathmax by abdo last updated on 29/Mar/20 $${let}\:{f}\left({t}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({t}\sqrt{{x}^{\mathrm{2}} +{a}^{\mathrm{2}} }\right)}{\left(\mathrm{1}+{x}^{\mathrm{2}}…