query: Evaluation of integrals with floor functions
positive_passages.docid: 142907
positive_passages.text: Integrating Floor Functions $\int_0^{1102} \lfloor{x^{1/2}}\rfloor \mathrm{d}x$
negative_passages.docid: 114889
negative_passages.text: Solve summation $\sum_{i=1}^n \lfloor e\cdot i \rfloor $
negative_passages.docid: 128023
negative_passages.text: Recursive formulas and integration
negative_passages.docid: 24653
negative_passages.text: Integral in $n-$dimensional euclidean space
negative_passages.docid: 118791
negative_passages.text: Efficient evaluation of functions defined by NIntegrate
negative_passages.docid: 113237
negative_passages.text: Find the sum of the roots of the floor equation
negative_passages.docid: 83621
negative_passages.text: Evaluating Contour Integral
negative_passages.docid: 63023
negative_passages.text: Evaluation of $\lim_{x\rightarrow \infty}\sqrt{x^2+x+1} -\lfloor \sqrt{x^2+x+1 }\rfloor\;,$
negative_passages.docid: 138294
negative_passages.text: Increasing sequence of step functions and diverging Lebesgue Integrals
negative_passages.docid: 149866
negative_passages.text: Evaluating $\int_0^{2\pi} \frac {\cos(\theta)}{5-3\cos(\theta)} \, d\theta$ using residue theorem
negative_passages.docid: 65407
negative_passages.text: Evaluating $\int\limits_0^\infty \frac{\log x} {(1+x^2)^2} dx$ with residue theory
negative_passages.docid: 71638
negative_passages.text: Integrating a step function using antiderivatives
negative_passages.docid: 117602
negative_passages.text: How to evaluate $\int \cot^2(x) \;\mathrm dx$?
negative_passages.docid: 106515
negative_passages.text: Use a rectangular contour to evaluate the integral
negative_passages.docid: 100559
negative_passages.text: Gaussian integral with a shift in the complex plane
negative_passages.docid: 158463
negative_passages.text: Analyzing $\biggl\lfloor{\frac{x}{5}}\bigg\rfloor=\bigg\lfloor{\frac{x}{7}}\bigg\rfloor$
negative_passages.docid: 133207
negative_passages.text: Integration with half-space Gaussian