query: Evaluating Riemann Sum of $\frac{1}{x^2}$
positive_passages.docid: 151030
positive_passages.text: On Riemann sums for negative exponents
negative_passages.docid: 115598
negative_passages.text: Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
negative_passages.docid: 41911
negative_passages.text: Use Riemann integral to evaluate the limit $\lim_{n \rightarrow \infty} \frac{\sum_{k=1}^n \sqrt{k}}{\sum_{k=1}^n \sqrt{n+k}}$
negative_passages.docid: 45361
negative_passages.text: Checking the consistency and Bias of $\frac{\sum X_i +\sqrt{n}/2}{n+\sqrt{n}}$
negative_passages.docid: 119725
negative_passages.text: How would one evaluate $\int\frac{x\sin(x)}{x^2+1}$ over the real line?
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: 131023
negative_passages.text: Evaluate the sum: $\sum\limits_{n=0}^{\infty} \frac1{F_{(2^n)}}$
negative_passages.docid: 120743
negative_passages.text: For Riemann sums involving square roots, why do we let $c_{i} = \frac{i^{2}}{ n^{2}}$?
negative_passages.docid: 117863
negative_passages.text: Series $\sum_{n=1}^\infty \frac{n^n}{(n!)^2}$
negative_passages.docid: 52987
negative_passages.text: $\sum_{n=-\infty}^{\infty}\frac{1}{(n+\alpha)^2}=\frac{\pi^2}{(\sin \pi \alpha)^2}$?
negative_passages.docid: 32312
negative_passages.text: Evaluating the integral $\int \frac{x^2+x}{(e^x+x+1)^2}dx$
negative_passages.docid: 70013
negative_passages.text: How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
negative_passages.docid: 138313
negative_passages.text: How to sum $\sum_{n=1}^{\infty} \frac{1}{n^2 + a^2}$?
negative_passages.docid: 158737
negative_passages.text: What is the value of the series $\sum\limits_{n=1}^\infty \frac{(-1)^n}{n^2}$?
negative_passages.docid: 17674
negative_passages.text: Riemann Lower Sum by definition
negative_passages.docid: 69978
negative_passages.text: Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
negative_passages.docid: 150101
negative_passages.text: Riemann Sum of $\sqrt{x}$ with uniform partition