1. The problem statement, all variables and given/known data Ok, so I have the problem, and I have the answer, but I don't know how they arrived at the answer. I'll show you the problem, and what I tried and maybe somebody can point out where I am going wrong, or some hints to put me on the right path. (2x-1)/(x+1) being integrated on ∫ 0 to 6 this lesson is supposed to be demonstrating how to integrate using natural log. The answer I was given was 12-3 ln 7 3. The attempt at a solution I tried a variety of things, none of which led me to the given solution. I tried breaking it up into (2x)/(x+1)-(1)/(x+1) and then integrating each piece (which I'm not sure is a "legal" move) getting x^2 ln (x+1)-x ln (x+1), or trying it as x^2-x ln (x+1) neither of which gets me to the final answer. Now there was a hint to use "U substitution" but I had in the past been told that I can only do "u substitution" if the derivative is found elsewhere in the function or the derivative is off by a constant factor. the derivative of neither expression is the other off by a constant factor (they would both be off by a variable x), so I'm not sure how to do a "u substitution" in that case. Halp?