MathematicsMedium210×since 2002Q3484The value of k∈Nk \in \mathbb{N}k∈N for which the integral In=∫01(1−xk)ndx,n∈NI_n=\int_0^1\left(1-x^k\right)^n d x, n \in \mathbb{N}In=∫01(1−xk)ndx,n∈N, satisfies 147I20=148I21147 I_{20}=148 I_{21}147I20=148I21 isA8B14C7D10Check answerSkip