# Homework Help: General rule

1. Jul 13, 2010

### dami

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. Jul 13, 2010

### Staff: Mentor

The integral is $$\int_0^a \frac{dx}{x^n}~=~\int_0^a x^{-n}dx$$

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.