I'm given the question
$\int g(x) * g'(x) dx $
The integral evaluates to
$1/2[g(x)]^2 + C$
but I have absolutely no idea how to arrive at that conclusion.
My first thought was that the $g(x)*g'(x)$ looked somewhat similar to the product rule, and that I could somehow use that with the fundamental theorem of calculus to arrive at the answer, but I had no luck. I see multiple questions like this in my calc textbook and I never really know how to approach them.