Integrade the function f(x) = 1/(x^2 - 5x +6) with respect to x.

First, we need to factorise the denominator and therefore we use this formula: x_1,2 =[ -b + sqrt(b² -4 a c) ]/ (2a). You obtain two roots, x = 2 and x=3 and the integration is simplified to : 1/[(x-2)(x-3)], but still cannot be solved.By using the method of partial factions the integration becomes solvable as it can be split in two separate functions: -1/(x-2) + 1/(x-3). The solution is: -ln(x-2) + ln(x-3) + cI skipped few steps as I cannot show all the working using this text box. In a tutorial that when I will be using the whiteboard it will become clear as I will show all the steps and methodology.