Seeking indefinite integral ∫ 2x-2 / x ^ 2-2x + 3DX Seek the concrete process

Seeking indefinite integral ∫ 2x-2 / x ^ 2-2x + 3DX Seek the concrete process

∫2x-2/x^2-2x+3dx
=∫(x^2-2x+3)'/(x^2-2x+3) dx
=∫1/(x^2-2x+3) d(x^2-2x+3)
=ln(x^2-2x+3)+c