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Rewrite the expression $\frac{x^2}{x^4+8x^2+16}$ inside the integral in factored form
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$\int_{0}^{1}\frac{x^2}{\left(x^{2}+4\right)^{2}}dx$
Learn how to solve problems step by step online. Integrate the function (x^2)/(x^4+8x^2+16) from 0 to 1. Rewrite the expression \frac{x^2}{x^4+8x^2+16} inside the integral in factored form. Rewrite the fraction \frac{x^2}{\left(x^{2}+4\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}+4\right)^{2}. Multiplying polynomials.