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Rewrite the expression $\frac{-2x^2+1}{x^3+6x^2+12x+8}$ inside the integral in factored form
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$\int\frac{-2x^2+1}{\left(x+2\right)^{3}}dx$
Learn how to solve problems step by step online. Find the integral int((-2x^2+1)/(x^3+6x^212x+8))dx. Rewrite the expression \frac{-2x^2+1}{x^3+6x^2+12x+8} inside the integral in factored form. Rewrite the fraction \frac{-2x^2+1}{\left(x+2\right)^{3}} in 3 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C. The first step is to multiply both sides of the equation from the previous step by \left(x+2\right)^{3}. Multiplying polynomials.