# Math Help - Help understanding a Calculus 2 integral

1. ## Help understanding a Calculus 2 integral

Okay, so I've basically been practicing Calc 2 integrals non-stop because they're VERY difficult. I'm starting to get it, inch by inch, but there is one method that I just do not understand. Here is an example of my problem....

The first step is what I don't understand. How does the 3w - 1 turn into 3 - 7/(w +2)?

Thanks for the help.

2. ## Re: Help understanding a Calculus 2 integral

It doesn't $\frac{3w- 1}{w+ 2}$ does. Do the division: $\frac{3w- 1}{w+ 2}= \frac{3w+ 6- 7}{w+ 2}= \frac{3w+ 6}{w+ 2}- \frac{7}{w+ 2}= 3\frac{w+ 2}{w+ 2}- \frac{7}{w+ 2}$.

3. ## Re: Help understanding a Calculus 2 integral

I can see that now. A lot of the techniques used in these integrals always seems so cryptic to me... thanks a lot!