If I(n) = int(logx)^(n) dx then prove th...

If `I_(n) = int(logx)^(n) dx` then prove that `I_(n) = x(logx)^(n) - nI_(n-1)` and hence evaluate `int(log x)^(4) dx`

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The correct Answer is:

`x[logx)^(4)-4(logx)^(3)+12(logx)^(2)-24logx+24]+c`

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