(Solved): If a linear factor in the denominator of a rational function is repeated, there will be two corres ...

If a linear factor in the denominator of a rational function is repeated, there will be two corresponding partial fractions. Use this method to evaluate the integral. (Remember to use absolute values where appropriate. Use \( C \) for the constant of integration.) \[ \int \frac{3 x^{2}-18 x+34}{(2 x+1)(x-2)^{2}} d x \]