DX / (x ^ 2-4x + 3) (x from 0 to 2),

∫ [0 → 2] 1 / (X & # 178; - 4x + 3) DX = ∫ [0 → 2] 1 / [(x-1) (x-3)] DX = ∫ [0 → 1] 1 / [(x-1) (x-3)] DX + ∫ [1 → 2] 1 / [(x-1) (x-3)] DX integral converges if and only if the above two integrals converge. The first ∫ [0 → 1] 1 / [(x-1) (x-3)] DX = (1 / 2)

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