please code using python

Directions: Use Python to solve each problem. (Template link) 1. Given f(x)=(x5)2(x2+3)(x2+5)x34x+3 (a) The partial fraction decomposition of f(x) is (x5)A+(x5)2B+x2+3Cx+D+x2+5Ex+F. 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