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Rewrite the fraction $\frac{x^2+2}{\left(x-1\right)^3\left(x-2\right)}$ in $4$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{x^2+2}{\left(x-1\right)^3\left(x-2\right)}=\frac{A}{\left(x-1\right)^3}+\frac{B}{x-2}+\frac{C}{x-1}+\frac{D}{\left(x-1\right)^{2}}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((x^2+2)/((x-1)^3(x-2)))dx. Rewrite the fraction \frac{x^2+2}{\left(x-1\right)^3\left(x-2\right)} in 4 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-1\right)^3\left(x-2\right). Multiplying polynomials. Simplifying.