Mathematics · JEE | INTEGRALS

What is the partial fraction decomposition form for the rational function \( \frac{3x - 2}{(x+1)^2(x+3)} \)?

1. A
   \( \frac{A}{x+1} + \frac{B}{x+3} \)
2. B
   \( \frac{A}{x+1} + \frac{B}{(x+1)^2} + \frac{C}{x+3} \)
3. C
   \( \frac{Ax+B}{(x+1)^2} + \frac{C}{x+3} \)
4. D
   \( \frac{A}{x+1} + \frac{Bx+C}{(x+1)^2(x+3)} \)