Antiderivative of a polynomial fraction
I am trying to solve this problem and I can't seem to understand where I am going wrong. My understanding of antiderivatives is this formula:
The problem I am trying to solve is:
I think there are two possible parts that I am getting wrong, I started the problem by separating them into individual fractions and solving each fraction at a time. I think I get it wrong at either the ln(x) or . Here is my attempt:
Then from here I get the antiderivative:
I keep getting the wrong answer when I plug it in, am I missing some fundamental piece of information about antiderivatives which is causing me to mess up the ln(x) or is my algebra wrong and I mess up around ?