Final answer to the problem
Step-by-step Solution
Specify the solving method
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. Find the integral of (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 expression \frac{x^2-x+1}{\left(x-1\right)^{4}\left(x+1\right)} inside the integral in factored form.