## Step-by-step explanation

Problem to solve:

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. Integral of (x-2)/(x(x^2+5x-14)) with respect to x. Factor the trinomial \left(x^2+5x-14\right) finding two numbers that multiply to form -14 and added form 5. Thus. Simplifying. Rewrite the fraction \frac{1}{x\left(x+7\right)} in 2 simpler fractions using partial fraction decomposition.