Timeline for Evaluating $\int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \sqrt{{x^2+y^2+z^2}}\, dx \,dy \,dz$ by converting to spherical coordinates
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 26, 2019 at 22:35 | comment | added | Yuriy S | @A.Γ., and I'm grateful, since frankly, I forgot that this theorem is useful beyond introductory electrostatics courses I had years ago. There are some problems of mine which I now know how to simplify thanks to you | |
| Aug 26, 2019 at 22:28 | comment | added | A.Γ. | The comment was for you as you seemed to be attracted to the problem. | |
| Aug 26, 2019 at 22:23 | comment | added | Yuriy S | @A.Γ., maybe this comment should be under the original post? But great idea, yes, I forgot about this useful theorem | |
| Aug 26, 2019 at 22:18 | comment | added | A.Γ. | The relation $\operatorname{div}(r\vec{r})=4r$ and Ostrogradsky theorem can reduce the triple integral to three similar double integrals, i.e. $$\frac34\iint_{[0,1]^2}\sqrt{x^2+y^2+1}\,dxdy.$$ | |
| Aug 26, 2019 at 22:06 | history | answered | Yuriy S | CC BY-SA 4.0 |