Let I(n)= int(0)^(1)(x ln x)^(n)dx, if I...

Let `I_(n)= int_(0)^(1)(x ln x)^(n)dx,` if `I_(4)=k int_(0)^(1)x^(4)(ln x)^(3)dx,` then `|[k]|` is equal to ([.] denotes greatest integer function).`

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