Linear Algebra : Using the method of partial fraction decomposition, find the following indefinite integrals.
(a) ∫1/x⁴(x+1)dx. You will need to find constants a₁,a₂,a₃,a₄,a₅such that 1/x⁴(x+1)dx = a₁/x + a₂/x-1 + a₃/x²+1 + a₄/x²+1 .