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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.
$\int\frac{3x^2+1}{\left(x+1\right)\left(x^2+6\right)\left(x-1\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((3x^2+1)/((x^2-1)(x^2+6)))dx. Factor the difference of squares \left(x^2-1\right) as the product of two conjugated binomials. Rewrite the fraction \frac{3x^2+1}{\left(x+1\right)\left(x^2+6\right)\left(x-1\right)} in 3 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x+1\right)\left(x^2+6\right)\left(x-1\right). Multiplying polynomials.