Step-by-step Solution

Integrate $\frac{1}{x^2-6x+5}$ from $2$ to $4$

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Step-by-step explanation

Problem to solve:

$\int_{2}^{4}\frac{1}{x^2-6x+5}dx$

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

$\frac{1}{\left(x-1\right)\left(x-5\right)}=\frac{A}{x-1}+\frac{B}{x-5}$

Unlock this full step-by-step solution!

Learn how to solve definite integrals problems step by step online. Integrate 1/(x^2-6x+5) from 2 to 4. 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. Simplifying.

Final Answer

$-0.5493$