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We could not solve this problem by using the method: Integrate by substitution
Rewrite the fraction $\frac{x^2}{\left(4+x^2\right)^2}$ in $2$ simpler fractions using partial fraction decomposition
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$\frac{x^2}{\left(4+x^2\right)^2}=\frac{Ax+B}{4+x^2}+\frac{Cx+D}{\left(4+x^2\right)^{2}}$
Learn how to solve problems step by step online. Find the integral int((x^2)/((4+x^2)^2))dx. Rewrite the fraction \frac{x^2}{\left(4+x^2\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(4+x^2\right)^2. Multiplying polynomials. Simplifying.