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Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{\left(x^4-x^2+1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-1\right)^2}{\left(x^2-1\right)\left(x^2+1\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Integrate the function ((x^4-x^2+1)(x^2+x+1)(x^2-x+1)(x^4-1)^2)/((x^2-1)(x^2+1)). Find the integral. Factor the difference of squares \left(x^4-1\right) as the product of two conjugated binomials. We can solve the integral \int\left(x^4-x^2+1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^2+1\right)\left(x^2-1\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.