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Homework Help: General rule

  1. Jul 13, 2010 #1
    1. The problem statement, all variables and given/known data

    give a general rule for when Integral (1/x^n) from (x, 0, a), a>0 converges or diverges.

    2. Relevant equations

    3. The attempt at a solution
    I have checked the textbooks for this answer but i cant seem to find it. The closest i got was Integral (1/x^n) from (x, 1, infinity), converges or diverges.
  2. jcsd
  3. Jul 13, 2010 #2


    Staff: Mentor

    The integral is [tex]\int_0^a \frac{dx}{x^n}~=~\int_0^a x^{-n}dx[/tex]

    Instead of searching textbooks for the answer, why don't you work it out? Note that this is an improper integral, so you'll need to use limits.
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