Final answer to the problem
Step-by-step Solution
Specify the solving method
Factor the trinomial $x^2+5x-14$ finding two numbers that multiply to form $-14$ and added form $5$
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\begin{matrix}\left(-2\right)\left(7\right)=-14\\ \left(-2\right)+\left(7\right)=5\end{matrix}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(x^2+5x+-14))dx. Factor the trinomial x^2+5x-14 finding two numbers that multiply to form -14 and added form 5. Thus. Rewrite the fraction \frac{1}{\left(x-2\right)\left(x+7\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+7\right).