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** Step-by-step Solution **

** How should I solve this problem?

- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the fraction $\frac{x^2}{x-1}$ inside the integral as the product of two functions: $x^2\frac{1}{x-1}$

Learn how to solve trigonometric integrals problems step by step online.

$\int x^2\frac{1}{x-1}dx$

Learn how to solve trigonometric integrals problems step by step online. Find the integral int((x^2)/(x-1))dx. Rewrite the fraction \frac{x^2}{x-1} inside the integral as the product of two functions: x^2\frac{1}{x-1}. We can solve the integral \int x^2\frac{1}{x-1}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.

** Final answer to the problem

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