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Rewrite the expression $\frac{x^2}{16+x^4}$ inside the integral in factored form
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$\int\frac{x^2}{\left(x^2-2\sqrt{2}x+4\right)\left(x^2+2\sqrt{2}x+4\right)}dx$
Learn how to solve problems step by step online. Integrate the function (x^2)/(16+x^4) from 0 to infinity. Rewrite the expression \frac{x^2}{16+x^4} inside the integral in factored form. Rewrite the fraction \frac{x^2}{\left(x^2-2\sqrt{2}x+4\right)\left(x^2+2\sqrt{2}x+4\right)} 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^2-2\sqrt{2}x+4\right)\left(x^2+2\sqrt{2}x+4\right). Multiplying polynomials.