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5uckerberg

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Split into .

Then we have










You can do the rest of this because the rest is a matter of technique
 

5uckerberg

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I mean you can give that a shot as well but I am only showing one of the pathways.
 

stupid_girl

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Long division followed by partial fraction decomposition is the most standard approach for integrating rational functions.

Alternatively, some people may also use partial fraction decomposition directly by noting the degree of the quotient.
Let x^4/(x^2-3x+2)=Ax^2+Bx+C+D/(x-1)+E/(x-2).
 

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