Question

find integration of 2x-5/xsquare-5x+2​

Answer 1

Answer:

I hope it is helpful to you

Step-by-step explanation:

f(x) = (2x-5) /(x^2 -5x + 6)

F(x)= intg f(x) = intg (2x-5)/(x^2 - 5x + 6)

Let u = x^2 - 5x + 6

==> du = (2x - 5) dx

F(x) = intg du/u

= ln u

= ln (x^2 -5x +6)

F(1) = ln (1-5+6) = ln 2

F(0) = ln (0-0+6) = ln 6

Then the definite intergral = ln 2 - ln 6

= ln 2/6

= ln 1/3

= -ln3