query: Definite integral $\int_0^92\sqrt x\,\mathrm dx$
positive_passages.docid: 150101
positive_passages.text: Riemann Sum of $\sqrt{x}$ with uniform partition
negative_passages.docid: 54831
negative_passages.text: Integral of $\sqrt{1-x^2}$ using integration by parts
negative_passages.docid: 42992
negative_passages.text: How do I integrate the following? $\int{\frac{(1+x^{2})\mathrm dx}{(1-x^{2})\sqrt{1+x^{4}}}}$
negative_passages.docid: 102156
negative_passages.text: Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
negative_passages.docid: 146349
negative_passages.text: $\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
negative_passages.docid: 2776
negative_passages.text: What can be said about the integral part of $(a+\sqrt{b})^n $
negative_passages.docid: 83801
negative_passages.text: Finding $\int \frac {dx}{\sqrt {x^2 + 16}}$
negative_passages.docid: 100869
negative_passages.text: How to show that $\int_0^1 \left(\sqrt[3]{1-x^7} - \sqrt[7]{1-x^3}\right)\;dx = 0$
negative_passages.docid: 72179
negative_passages.text: How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
negative_passages.docid: 68368
negative_passages.text: Evaluate $\lim_{n \to \infty} \int_{0}^1 [x^n + (1-x)^n ]^{1/n} \ \mathrm{d}x$
negative_passages.docid: 45205
negative_passages.text: Showing that $\int_0^\infty x^{-x} \mathrm{d}x \leq 2$.
negative_passages.docid: 122556
negative_passages.text: Integral $\int\!\sqrt{\cot x}\,dx $
negative_passages.docid: 25162
negative_passages.text: Differentiating Definite Integral
negative_passages.docid: 67629
negative_passages.text: How to evaluate these indefinite integrals with $\sqrt{1+x^4}$?
negative_passages.docid: 29680
negative_passages.text: How to determine $\int x^2 e^{-x^2}\mathrm dx$?
negative_passages.docid: 102314
negative_passages.text: How to find $\int \sqrt{x^8 + 2 + x^{-8}} \,\mathrm{d}x$?
negative_passages.docid: 102541
negative_passages.text: Did I solve this definite integral correctly?