I have never integrated using the floor function before, so I just need help starting the following problem. $$\int_{3}^{4} \frac{|x-1|}{\lfloor 2x-5 \rfloor} dx =?$$
2026-03-25 09:33:48.1774431228
Taking the integral with absolute value and the floor function
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Hint: $$\int_{3}^{4} \frac{x-1}{\lfloor 2x-5 \rfloor} dx = \int_{3}^{3.5} \frac{x-1}{1} dx+ \int_{3.5}^{4} \frac{x-1}{2} dx.$$