∫(x-2)/(x^2-7x+12)dx

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∫(x-2)/(x^2-7x+12)dx

2lnlx-4l-lnlx-3l+c
∫(x-2)/(x^2-7x+12)dx=∫(x-2)/(x-4)(x-3)dx=∫[2/(x-4)-1/(x-3)]dx=∫2/(x-4)dx-∫1/(x-3)dx=2lnlx-4l-lnlx-3l+c