I need some help with checking this answer please:
\[\large\int\limits_4^5 \frac{x^3-3 x^2-9}{x^3-3 x^2} dx = x-\frac{3}{x}-\ln|3-x|+\ln|x|+C\]
I got this far using the partial fractions technique. I went to check my answer that I got on paper but Wolfram gives some craziness with hyperbolic tangents that I don't understand. So what should the answer be and wouldn't the natural log of 3-x be an issue because it gives non-real values?
The correct answer MUST have real values and be in terms of constants and logs. If somebody could show me what's going on here it would be great :-)

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Well, for one thing you have written the natural log of the absolute value of 3-x.

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