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**Trouble with the integral!! Help**

While I was working some examples of integrals from book, I found this example:

[itex]\int {{x^3-1}\over{4x^3+x}}[/itex]

and I can not solve it, because I get always incorrect result.

Result is: (from book)

[itex]{x \over 4}+{{x \over 16}*{ln ({{x^{16}}\over{(2x-1)^7(2x+1)^9}}})}[/itex]

Can you help me solve it!!

Thanks.