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}] Integrate[x1 Integrate[Integrate[(1/(-1+n))^n (1/v1)^(n/(-1+n)) x1^((2-n)/(-1+n)) x2^((2-n)/(-1+n)) x3^((2-n)/(-1+n)), {x3, 0, x1}], {x2, 0, x1}], {x1, 0, v1}] `

but how do I calculate this integral where the number of integrals is aribtrary?