在计算 \( K = \int_0^1 x^2 \ln(x) \, dx \) 时，使用分部积分法，若设 \( u = \ln(x) \) 和 \( dv = x^2 \, dx \)，则在计算 \( du \) 和 \( v \) 时需要注意什么？

Which translation best conveys legal precision for '雇用极瘦模特会被判有罪'?

已知随机变量X服从指数分布，其概率密度函数为f(x) = λe^(-λx) (x ≥ 0, λ > 0)，则下列哪个描述是正确的？

Consider the following sentences: 1. 'Having finished the report, he went home.' 2. 'The report having been finished, he went home.' Which statement accurately describes the primary difference in grammatical structure and implied meaning between these two sentences?

在快手上，一个兽医通过发布宠物科普视频获得了10多万粉丝，这些粉丝大多是拥有同样兴趣的精准粉丝。这种现象最直接反映了快手的哪个特点？