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How to integrate this? #intcolor(white).(3x^2-x+1)/(x^3-x^2)#

1 Answer

Mar 11, 2018

#3lnabs(x-1)+1/x+C#

Explanation:

#int(3x^2-x+1)/(x^3-x^2)dx=int(3x^2)/(x^2(x-1))dx -int(x-1)/(x^2(x-1))dx=int(3)/((x-1))dx-int1/x^2dx=3lnabs(x-1)+1/x+C#

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