How Do You Integrate (x^2)/(x-1)?

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SUMMARY

The integral of (x^2)/(x-1) can be solved by performing polynomial long division. This process involves dividing x^2 by (x-1), resulting in a polynomial and a proper rational function. The final solution requires integrating both parts separately. The use of this method simplifies the integration process significantly.

PREREQUISITES
  • Understanding of polynomial long division
  • Knowledge of integral calculus
  • Familiarity with proper rational functions
  • Basic algebraic manipulation skills
NEXT STEPS
  • Practice polynomial long division with various functions
  • Study integration techniques for rational functions
  • Explore the concept of improper vs. proper rational functions
  • Learn about the Fundamental Theorem of Calculus
USEFUL FOR

Students studying calculus, educators teaching integration techniques, and anyone looking to enhance their skills in solving rational function integrals.

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Homework Statement



integral of (x^2)/(x-1)


The Attempt at a Solution



Thats all i need to know how to do for this question.
 
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Divide x2 by x - 1 to get a polynomial + a proper rational function.
 

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