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I have a couple of problems I'm trying to figure out:

1) 1/x^3-x^2 dx

Is this a partial fraction problem and if so am I doing it correctly?

I think I should break down the denominator into x^2(x-1) then I have A/x^2 + B/(x-1)

Then I get A= -3 and B = 1 so I figure it to be -3ln[x^2] + ln[x-1]?

I may be way off and if I am could you please point me in the right direction.

2) [5x^3 + x^2 - square root (x)] / 2x

I know this is another partial fractions problem but I have no idea what to do when I only have 2x in the denominator. Could you give me a way to start this problem so I can try to figure it out too?

Thanks for the help