Question

partial fraction 1/x(x+1)​

Answer 1

Step-by-step explanation:

Let me write

1/x(x -1) = A/x.+ B/x-1 = {A(x - 1)+ Bx}/x(x - 1 )

= {(A + B)x - A}/x(x - 1)

I can write

-A =1

(A + B)x = 0

x is not zero therefore A +.B = 0 Or A = -B

A = - 1

B = 1

1/x(x-1) =1/(x - 1 ) - 1/x