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Rewrite the expression $\frac{2x^3+x+3}{x^4+2x^2+1}$ inside the integral in factored form
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$\int\frac{2x^3+x+3}{\left(x^{2}+1\right)^{2}}dx$
Learn how to solve problems step by step online. Find the integral int((2x^3+x+3)/(x^4+2x^2+1))dx. Rewrite the expression \frac{2x^3+x+3}{x^4+2x^2+1} inside the integral in factored form. Rewrite the fraction \frac{2x^3+x+3}{\left(x^{2}+1\right)^{2}} in 2 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^{2}+1\right)^{2}. Multiplying polynomials.