** Final Answer

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## Step-by-step Solution

Problem to solve:

** Specify the solving method

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Rewrite the expression $\frac{1}{x^2-6x+5}$ inside the integral in factored form

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Rewrite the fraction $\frac{1}{\left(x-1\right)\left(x-5\right)}$ in $2$ simpler fractions using partial fraction decomposition

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

$\int_{2}^{4}\frac{1}{\left(x-1\right)\left(x-5\right)}dx$

Learn how to solve definite integrals problems step by step online. Integrate the function 1/(x^2-6x+5) from 2 to 4. Rewrite the expression \frac{1}{x^2-6x+5} inside the integral in factored form. Rewrite the fraction \frac{1}{\left(x-1\right)\left(x-5\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-5\right). Multiplying polynomials.

** Final Answer

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