How to calculate this n dimensional integral?

The integral such as It’s easy to evaluate the first few items Integrate[x1 (1/(-1+n))^n (1/v1)^(n/(-1+n)) x1^((2-n)/(-1+n)), {x1, 0, v1}] Integrate[x1 Integrate[(1/(-1+n))^n (1/v1)^(n/(-1+n)) x1^((2-n)/(-1+n)) x2^((2-n)/(-1+n)), {x2, 0, x1}], {x1, 0, v1}]…

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