antidifferentiation using integration by parts

[adaxial]

here is the problem:

http://img7.imageshack.us/img7/4219/yesdn.png

please help!

 

[DrPhil]

here is the problem:

http://img7.imageshack.us/img7/4219/yesdn.png

please help!

We ALWAYS need to see your work. Otherwise we don't know what tools you are supposed to use, and we can't tell where you are getting stuck.

For convenience, I enter the question here:

\(\displaystyle \displaystyle \int \dfrac{x^2}{x^3 - 4}dx \)

Do you know the "substitution" method?
Have you tried u = x^3 - 4 ?

BTW, if you put

tags around the URL for your picture, or use the "Insert Image" tool, it would be embedded automatically (unless it is too large!).

EDIT: I see that your subject line specifies integration by parts. What would you let be u, and what would be dv?

 

[HallsofIvy]

Were you specifically told to use integration by parts or was that your idea? I can see no reason to use integration by parts for this integral.