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JEECUP (UP Polytechnic) Log — practice questions

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Worked practice questions

$\displaystyle\int_1^e \ln x\, dx = ?$

  1. $0$
  2. $1$
  3. $e - 1$
  4. $e$
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Correct answer: B. $1$

IBP: $[x\ln x - x]_1^e = (e - e) - (0 - 1) = 0 + 1 = 1$.

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