Reduction Formula

Derive the reduction formula below:

    \[\displaystyle \int (\ln {x})^n \,\mathrm{d}x = x \cdot (\ln {x})^n - n \int (\ln {x})^{n-1} \,\mathrm{d}x\]

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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