Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x)/(3x^2-27))dx. Rewrite the expression \frac{2x}{3x^2-27} inside the integral in factored form. Take out the constant 2 from the integral. Take the constant \frac{1}{3} out of the integral. Multiply the fraction and term in 2\cdot \left(\frac{1}{3}\right)\int\frac{x}{\left(x+3\right)\left(x-3\right)}dx.

Find the integral int((2x)/(3x^2-27))dx