integral from 0 to 1 of

x-4/(x^2-5x+6)

I do believe we can integrate with partial fractions, and I should factor it in order to create a linear case 1 thingy

so then, it will be:
x-4/(x-2)(x-3)

After that, I will find the value of a/(x-2) + b/(x-3).

But I suck at matrices but I am practicing. I just want to make video games