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** Step-by-step Solution **

Problem to solve:

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Rewrite the fraction $\frac{1}{\left(x-1\right)\left(x+2\right)}$ in $2$ simpler fractions using partial fraction decomposition

Learn how to solve definite integrals problems step by step online.

$\frac{1}{\left(x-1\right)\left(x+2\right)}=\frac{A}{x-1}+\frac{B}{x+2}$

Learn how to solve definite integrals problems step by step online. Integrate the function 1/((x-1)(x+2)) from 2 to 5. Rewrite the fraction \frac{1}{\left(x-1\right)\left(x+2\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(x-1\right)\left(x+2\right). Multiplying polynomials. Simplifying.

** Final Answer

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