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Help, I'm trying to find the hypervolume of a hypersphere and I'm stuck on this:

[tex]V^4= 2(\frac{4\pi} {3}) \int_0^r (\sqrt{r^2-x^2}) ^3 dx [/tex]

I don't know how to do the integration, and I can't expand the [tex](\sqrt{r^2-x^2}) ^3 [/tex]

The answer should be [tex] \frac{\pi ^2}{2}r^4 [/tex]

Please help, thanks

[tex]V^4= 2(\frac{4\pi} {3}) \int_0^r (\sqrt{r^2-x^2}) ^3 dx [/tex]

I don't know how to do the integration, and I can't expand the [tex](\sqrt{r^2-x^2}) ^3 [/tex]

The answer should be [tex] \frac{\pi ^2}{2}r^4 [/tex]

Please help, thanks

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