Question

How do you use partial fraction decomposition to decompose the fraction to integrate `(2-6x)/(((x-5)^3)((x^2)+9)(((2x^2)+5x+7)^2))`?

Answer 1

`A/(x-3) + B/(x-3)^2 + C/ (x-3)^3 + (Dx+E)/(x^2 + 9) + (Fx +G)/(2x^2 + 5x + 7) + (Hx +I)/(2x^2 + 5x + 7)^2`