Final answer to the problem
Step-by-step Solution
Specify the solving method
Factor the trinomial $x^2-5x+6$ finding two numbers that multiply to form $6$ and added form $-5$
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\begin{matrix}\left(-2\right)\left(-3\right)=6\\ \left(-2\right)+\left(-3\right)=-5\end{matrix}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((4x+1)/(x^2-5x+6))dx. Factor the trinomial x^2-5x+6 finding two numbers that multiply to form 6 and added form -5. Thus. Rewrite the fraction \frac{4x+1}{\left(x-2\right)\left(x-3\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-2\right)\left(x-3\right).