query: Integrate $\int_{0}^{2\pi}e^{\cos\theta}\cos(\sin\theta)d\theta$
positive_passages.docid: 156485
positive_passages.text: How to evaluate $\int_{0}^{2\pi}e^{\cos \theta}\cos( \sin \theta) d\theta$?
negative_passages.docid: 140386
negative_passages.text: Integrate $\int {\dfrac{x^2+\left(n-1\right)n}{\left(x\sin x+n\cos x\right)^2}}dx $
negative_passages.docid: 135447
negative_passages.text: Compute the integral $\int_0^{\frac\pi2}\frac{\mathrm d \theta}{\sqrt{\sin \theta}}$
negative_passages.docid: 153318
negative_passages.text: Calculating the following integral using complex analysis: $\int_{0}^{\pi}e^{a\cos(\theta)}\cos(a\sin(\theta))\, d\theta$
negative_passages.docid: 147759
negative_passages.text: Integral $ \dfrac { \int_0^{\pi/2} (\sin x)^{\sqrt 2 + 1} dx} { \int_0^{\pi/2} (\sin x)^{\sqrt 2 - 1} dx} $
negative_passages.docid: 114956
negative_passages.text: Integrate $\int \cos^4 x\,\mathrm dx.$
negative_passages.docid: 121071
negative_passages.text: Calculation of $\int^{\pi/2}_{0}\cos^{n}(x)\cos (nx)\,dx$, where $n\in \mathbb{N}$
negative_passages.docid: 22099
negative_passages.text: Integrate $e^{ax}\sin(bx)?$
negative_passages.docid: 7835
negative_passages.text: Tricky elementary integral $\int_{0}^{\frac{\pi}{2}}x\cot(x)dx$.
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: 90095
negative_passages.text: Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
negative_passages.docid: 157364
negative_passages.text: $\int_{-2}^{2} \sin(x^5)e^{(x^8\sin(x^4))} dx$
negative_passages.docid: 98741
negative_passages.text: Finding $\int_{0}^{\frac{\pi}{4}} \frac{\tan \theta - \tan^3 \theta}{\ln \tan \theta}$
negative_passages.docid: 84683
negative_passages.text: integrate $dx/(a^2 \cos^2x+b^2 \sin^2x)^2$
negative_passages.docid: 518
negative_passages.text: What is the integral of $\int e^x\,\sin x\,\,dx$?
negative_passages.docid: 71988
negative_passages.text: Evaluate $\int_0^{2\pi} \frac{\sin^2\theta}{5+4\cos\theta}\,\mathrm d\theta$
negative_passages.docid: 84826
negative_passages.text: Evaluating $\int_0^{2 \pi} e^{\cos x} \cos (nx - \sin x) \,dx$ using complex analysis