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**Integration of Rational Functions by Partial Fractions?**

Ok I'm working on some homework problems and I don't even know how to do the first one, here is my problems and the steps that I did thus far ( I don't know if I did them right)

5x-13/(x-3)(x-2)= A/x-3 + B/x-2[tex]\rightarrow[/tex] ...5x-13= A(x-3)(x-2)B(x-2)(x-3)[tex]\rightarrow[/tex]... =(A+B)x

^{2}+(-5A-5B)x+(6A+6B)

That's how far I got, I don't know what to do next because in the textbook the next thing they do is equate the coefficients which I don't know how to do and other stuff ...please someone help if you know how to

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