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$\int\frac{x^2}{x^3+3x^2+3x+1}dx$
Learn how to solve problems step by step online. Integrate the function (x^2)/(x^3+3x^23x+1). Find the integral. Rewrite the expression \frac{x^2}{x^3+3x^2+3x+1} inside the integral in factored form. Rewrite the fraction \frac{x^2}{\left(x+1\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+1\right)^{3}.