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Rewrite the fraction $\frac{2x+1}{\left(x^2+4\right)^2\left(x-1\right)^3}$ in $5$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{2x+1}{\left(x^2+4\right)^2\left(x-1\right)^3}=\frac{Ax+B}{\left(x^2+4\right)^2}+\frac{C}{\left(x-1\right)^3}+\frac{Dx+F}{x^2+4}+\frac{G}{x-1}+\frac{H}{\left(x-1\right)^{2}}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((2x+1)/((x^2+4)^2(x-1)^3))dx. Rewrite the fraction \frac{2x+1}{\left(x^2+4\right)^2\left(x-1\right)^3} in 5 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D, F, G, H. The first step is to multiply both sides of the equation from the previous step by \left(x^2+4\right)^2\left(x-1\right)^3. Multiplying polynomials. Simplifying.