Partial Fractions Decomposition in Rational Models
Given the rational function \(R(x) = \frac{3x^2 + 5x + 2}{(x+1)(x^2+1)}\), decompose it into partial fractions suitable for integration. Write the decomposition in the form:\n\(\frac{A}{x+1} + \frac{Bx+C}{x^2+1}\).
Partial Fractions Decomposition with Irreducible Quadratic Factor
Decompose the rational function \(\frac{3x^2+4x+6}{(x+1)(x^2+4)}\) into partial fractions.