Given f(x) = (x^3 3x + 2)/((x 5)^2(x^2 + 4)(x^2 + 5)) (a) The partial fraction decomposition of f(x) is (A/(x 5)) +(B/(x 5)^2) +(Cx + D/x^2 + 4 )+ (Ex + F/x^2 + 5) Using this, write and solve a system of equations to find A through F (as you would by hand). Integrate the resulting partial fraction decomposition. (b) Use Python to find the partial fraction decomposition of f and integrate the result. (c) Integrate f directly and indicate whether your integrals (a), (b), and (c) are the same or not.