Partial fraction decomposition question: when you factor the denominator, lets say you get (x+1)(x-2), does it matter which factor goes first. For instance, would integrating A/(x+1) +B/(x-2) yield the same result as A/(x-2). + B/(x+1) ??

Question

Partial fraction decomposition question:  when you factor the denominator, lets say you get (x+1)(x-2), does it matter which factor goes first. For instance, would integrating  A/(x+1) +B/(x-2) yield the same result as A/(x-2). + B/(x+1) ??

anonymous · Answer

Order does not matter. A for the first arrangement would be equal to B for the second arrangement, and B for the first = A for the second.