∫dx/x^2-7x+12怎么解

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∫dx/x^2-7x+12怎么解∫dx/x^2-7x+12怎么解∫dx/x^2-7x+12怎么解∫1/(x²-7x+12)dx=∫1/[(x-4)(x-3)]dx=∫[(x-3)-(x-4)

∫dx/x^2-7x+12怎么解
∫dx/x^2-7x+12怎么解

∫dx/x^2-7x+12怎么解
∫ 1/(x² - 7x + 12) dx
= ∫ 1/[(x - 4)(x - 3)] dx
= ∫ [(x - 3) - (x - 4)]/[(x - 4)(x - 3)] dx
= ∫ [1/(x - 4) - 1/(x - 3)] dx
= ln|(x - 4)/(x - 3)| + C