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If I(m)=int(1)^(e)(log(e)x)^(m)dx, then ...

If `I_(m)=int_(1)^(e)(log_(e)x)^(m)dx`, then prove that, `I_(m)=e-mI_(m-1)`

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`int_(1)^(e)(log_(e)x)^(m-1)dx`
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