So in order to evaluate this double integral, I first evaluate the inner part with regards to x and consider y a constant. So far so good, but I'm not sure how to find the anti-derivative for this expression. I tried rewriting it to make it simpler. I know that to find the antiderivative of ln (root)x I have to use integration by parts, but I'm not sure what to do when there's an additional kx^-1. Any help would be appreciated!