Rewrite the following rational expressions as a sum of rational expressions using partial fraction decomposition
you DO NOT need to solve for the coefficients, just set the problem up
\[\frac{x+1}{x(x^{2} + 3)} \]
\[\frac{A}{x} + \frac{Bx + C}{x^2 + 3}\]
Rewrite the following rational expressions as a sum of rational expressions using partial fraction decomposition,
you DO NOT need to solve for the coefficients, just set up the problem
\[\frac{x^{2}+2x+5}{(x+1)(x+5)(x^{3}-2)}\]
\[\frac{A}{x+1} + \frac{B}{x+5} + \frac{Cx^{2} + Dx + E}{x^{3} -2}\]
Rewrite the following rational expressions as a sum of rational expressions using partial fraction decomposition,
you DO NOT need to solve for the coefficients, just set up the problem
\[\frac{x-\pi}{(x-5)(x+2)}\]
\[\frac{A}{x-5} + \frac{B}{x+2}\]
Rewrite the following rational expressions as a sum of rational expressions using partial fraction decomposition,
you DO NOT need to solve for the coefficients, just set up the problem
\[\frac{x^2-4x+15}{(x^{2}+1)(x^{2}+4)}\]
\[\frac{Ax+B}{x^{2}+1} + \frac{Cx+D}{x^{2}+4}\]
Rewrite the following rational expressions as a sum of rational expressions using partial fraction decomposition,
you DO NOT need to solve for the coefficients, just set up the problem
\[\frac{x-3}{x^{3} - x^{2} + 2x + 15}\]
\[\frac{Ax^{2} + Bx + C}{x^{3} - x^{2} + 2x + 15} \]
Rewrite the following rational expressions as a sum of rational expressions using partial fraction decomposition,
you DO NOT need to solve for the coefficients, just set up the problem
\[\frac{1}{x^{2} - 6x + 9}\]
\[\frac{Ax+B}{x^{2}-6x + 9}\] or \[\frac{A}{x-3} + \frac{B}{(x-3)^{2}} \]
Rewrite the following rational expressions as a sum of rational expressions using partial fraction decomposition,
you DO NOT need to solve for the coefficients, just set up the problem
\[\frac{x^{3} + x^{2} + 5}{(x^{2}+9)^{2}(2x-1)x}\]
\[\frac{Ax+B}{x^{2} + 9} + \frac{Cx+D}{(x^{2}+9)^{2}} + \frac{E}{2x-1} + \frac{D}{x} \]
Rewrite the following rational expressions as a sum of rational expressions using partial fraction decomposition,
you DO NOT need to solve for the coefficients, just set up the problem
\[\frac{5}{(x+1)(x+5)}\]
\[\frac{A}{x+1} + \frac{B}{x+5} \]
\[\int 2x dx\]
\[x^{2} + C\]
2+2
4