Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the expression $\frac{1}{x^2-6x+5}$ inside the integral in factored form
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{3}\frac{1}{\left(x-1\right)\left(x-5\right)}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/(x^2-6x+5) from 0 to 3. 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.