So, I am preparing myself for the math subject GRE with a practice test. Not only did I bomb the test, but I found that even things I thought I understood now seem confusing.
Case in point: the first question, the question that ought to be the easiest. It asked me to compute the derivative with respect to x of:
$$\int_e^x \log t \;dt$$
I can't post images yet so please click here
So, I thought using the Fundamental Theorem of Calculus, I'd get log(x) - log(e) = log (x) - 1. That wasn't even a choice.
Not only that, but the solution guide thought the answer was TOO SIMPLE TO EVEN EXPLAIN other than saying it's the FTC. The answer is log(x).
Please explain where my reasoning is flawed, I would be very grateful.