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Calculate the volume of a d-dimensional sphere

Mathematics
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Basically I need to evaluate: \[\int\limits \int\limits...\int\limits_{V} dx_1 \wedge dx_2 \wedge...dx_n\]
Over a d-dimensional unit sphere with: \[\rho_d=\sqrt{\sum_k x^2_k}\] \[q_1=\sin(x_1) \sum_k \cos(x_k)\] ... something like that I think?
Dont know sorry :(

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Other answers:

Someone else had a problem dealing with the same thing earlier.
You two should communicate.
Sorry. Looked through my history but couldn't find it.
maybe this help u take a look

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