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Factor the difference of squares $\left(x^2-4\right)$ as the product of two conjugated binomials
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$\int\frac{1}{x^2\left(x+2\right)^2\left(x-2\right)^2}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(1/(x^2(x^2-4)^2))dx. Factor the difference of squares \left(x^2-4\right) as the product of two conjugated binomials. Rewrite the fraction \frac{1}{x^2\left(x+2\right)^2\left(x-2\right)^2} in 6 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D, F, G. The first step is to multiply both sides of the equation from the previous step by x^2\left(x+2\right)^2\left(x-2\right)^2. Multiplying polynomials.