Please provide the right justifications for each step. Only showing the process does not really help me to sincerely learn math.

2. [6 pts] State the correct general form of the partial fraction decomposition for -x* +3x' +8 (x2 + 4)2(x2 - 2x - 3)(x2 + 4x + 3) Do NOT solve for the constants.3. [6 pts] State the limit or sum of limits of proper integrals that must be evaluated in order to determine whether the improper 1 integral x converges or diverges. Do not evaluate any integrals or compute any limits that you write x - 4 down