How to convert $\lim_{n\to \infty} \sum_{k=1}^{n} \frac{1}{k + n}$ into a definite integral?

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I am preparing for my Calculus exam, but am stuck on a question where I need to convert the limit of a Riemann sum to a definite integral.

I usually am able to tackle similar questions, but am stuck on this one. I understand that I need to factor $\Delta{x} = \frac{1}{n}$ out of the expression, giving me

$$ \frac{1}{k + n} = \frac{1}{n}\left(\frac{n}{k + n}\right). $$

However, this is where I am stuck at. I know that in the parentheses, I need to be able to acquire $\frac{k}{n}$ to be the $x$ value also, but I don't see how one can do that from $\frac{n}{k + n}$.

I would appreciate any help or advice pointing me in the right direction.

Thank you so much.