Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\frac{x^2-x+1}{\left(x^2-1\right)\left(x-1\right)^3}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x^2-x+1)/((x^2-1)(x-1)^3). Find the integral. Factor the difference of squares \left(x^2-1\right) as the product of two conjugated binomials. When multiplying exponents with same base you can add the exponents: \left(x+1\right)\left(x-1\right)^3\left(x-1\right). Rewrite the fraction \frac{x^2-x+1}{\left(x+1\right)\left(x-1\right)^{4}} in 5 simpler fractions using partial fraction decomposition.