Talk:List of integrals of logarithmic functions

Untitled
no proofs?

Definitions and restrictions?
While grateful for the work others put into this page, I wonder whether any (unmentioned) restrictions apply to $$m$$ and $$n$$ when they are not in a formula where a summation sign implies that they are to be countable (and natural or whole) numbers? For example, with respect to:


 * $$\int x^m (\ln x)^n\,dx = \frac{x^{m+1}(\ln x)^n}{m+1} - \frac{n}{m+1}\int x^m (\ln x)^{n-1} dx \qquad\mbox{(for }m\neq -1\mbox{)}$$

would real values be allowed for $$m$$ and $$n$$, other than $$m = -1$$ that is?Redav (talk) 12:49, 30 December 2020 (UTC)