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Q84 / 160 · AP EAMCET 2020 (07 Oct Special) · Mathematics

Q226 / 392 · AP EAMCET 2020 (07 Oct Special) · Mathematics · Indefinite Integration · Integration using Reduction Formula

If $I_n=\int(\log x)^n d x$, then $I_n+n I_{n-1}=$

  • A
    $(x \log x)^n$
  • Correct answer
    B
    $x(\log x)^n$
  • C
    $n(\log x)^n$
  • D
    $(\log x)^{n-1}$

Hence, the correct answer is option: 'B'.

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