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Factor the difference of squares $\left(x^2-1\right)$ as the product of two conjugated binomials
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{x-2}{x^3\left(x^2+4\right)\left(x+1\right)\cdot \left(x+1\right)\left(x-1\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((x-2)/(x^3(x^2+4)(x^2-1)(x+1)))dx. Factor the difference of squares \left(x^2-1\right) as the product of two conjugated binomials. When multiplying two powers that have the same base (x+1), you can add the exponents. Rewrite the fraction \frac{x-2}{\left(x+1\right)^2x^3\left(x^2+4\right)\left(x-1\right)} in 7 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D, F, G, H, I. The first step is to multiply both sides of the equation from the previous step by \left(x+1\right)^2x^3\left(x^2+4\right)\left(x-1\right).