Đáp án:
• \( \int \frac{2x^2 + 2x - 1}{x^2 - 5x + 4} \, dx = \int \frac{2(x^2 - 5x + 4) + 12x + 9}{x^2 - 5x + 4} \, dx \)
\( = \int 2 \, dx + 6 \int \frac{2x - 5}{x^2 - 5x + 4} \, dx + 13 \int \left( \frac{1}{x - 4} - \frac{1}{x - 1} \right) \, dx \)
\( = 2x + \ln|x^2 - 5x + 4| + 13 \ln \left| \frac{x - 4}{x - 1} \right| + C \)