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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

Let n be a positive integer, then ∫_0^ n+1 \ |x-1|, |x-2|, |x-3|, ,...

Let nn be a positive integer, then ∫0n+1min⁡{∣x−1∣,∣x−2∣,∣x−3∣,…,∣x−n∣}dx\int_0^{n+1} \min \{ |x-1|, |x-2|, |x-3|, \dots , |x-n| \} dx equals

Options

  1. A(n+1)4\frac{(n+1)}{4}
  2. B(n+2)4\frac{(n+2)}{4}
  3. C(n+3)4\frac{(n+3)}{4}
  4. D(n+4)4\frac{(n+4)}{4}

Correct answer

A. (n+1)4\frac{(n+1)}{4}

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