Thread: Integal 1/x^p

Can someone explain to me how to do the following problem please?:

"Find the values of p for which the integral converges and evaluate the integral for those values of p."

Integral of 1/x^p dx on the interval [0,1]

Any help would be greatly appreciated!
Thanks in advance!

Taking the anti-derivative of would be a great place to start!

Yes,

I found:
when p = 1:
ln|t| = infnity

and

when p ≠ 1:
1/(1-p) * x^(1-p)

but the book says:

p < 1, 1/(1-p) and I don't quite understand what this means, it looks similar but different to what I did.