query: Finding the integral of $\sin(x)\,dx$ using Riemann sums?
positive_passages.docid: 154065
positive_passages.text: $\int_{\frac{1}{3}\pi}^{\frac{2}{3}\pi} {\sin(x)\;dx}$ using Riemann sums?
negative_passages.docid: 41133
negative_passages.text: What is the integral of function $f(x) = (\sin x)/x$
negative_passages.docid: 65337
negative_passages.text: Compute $\int_{0}^{\infty}\frac{x\sin 2x}{9+x^{2}} \, dx$
negative_passages.docid: 117113
negative_passages.text: Integration of $x^2 \sin(x)$ by parts
negative_passages.docid: 54638
negative_passages.text: Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
negative_passages.docid: 1150
negative_passages.text: Indefinite Integral of $\sqrt{\sin x}$
negative_passages.docid: 90573
negative_passages.text: Indefinite integral $\int(\sin x)^2/(x\cdot\cos x-\sin x)^2\,dx$
negative_passages.docid: 3704
negative_passages.text: Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
negative_passages.docid: 140172
negative_passages.text: How to compute the Riemann sum of $x^n$ for any positive integer $n$?
negative_passages.docid: 153283
negative_passages.text: Trigonometric Integral Using Residue Theorem
negative_passages.docid: 38005
negative_passages.text: Integral of $\sin (x^3)dx$
negative_passages.docid: 23685
negative_passages.text: Integrating $\int \sin^n{x} \ dx$
negative_passages.docid: 59667
negative_passages.text: Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
negative_passages.docid: 158147
negative_passages.text: Calculating $\int_{-\infty}^{\infty}\frac{\sin(ax)}{x}\, dx$ using complex analysis
negative_passages.docid: 96191
negative_passages.text: Integral $\int_0^{\infty} \sin(x^2)/x^2\,dx$
negative_passages.docid: 24808
negative_passages.text: How to evaluate the integral $\int \sqrt{1+\sin(x)} dx$
negative_passages.docid: 20016
negative_passages.text: How to integrate $\int_0^{\pi/2}\frac{\sin^nx}{\sin^nx+\cos^nx}dx$?