# Math Help - I tried evaluating this integral sooo many times and keep getting it wrong!

1. ## I tried evaluating this integral sooo many times and keep getting it wrong!

I am trying to evaluate this integral and keep getting it wrong: http://www.wolframalpha.com/input/?i...C+from+-1+to+0

I would greatly appreciate it if someone could point out what I am doing wrong. (My work is attached)

2. second line ...

$\int \frac{4x+9}{x^2+10x+21} \, dx \ne \int \frac{2(2x+10)}{x^2+10x+21} \, dx - \int \frac{4}{x^2+10x+21} \, dx$

correction ...

$\int \frac{4x+9}{x^2+10x+21} \, dx = \int \frac{2(2x+10)}{x^2+10x+21} \, dx - \int \frac{11}{x^2+10x+21} \, dx$