query: How do I solve $\int_0^\pi\frac{x\sin(x)}{1+\cos^2(x)}dx$?
positive_passages.docid: 53438
positive_passages.text: I need assistance in integrating $ \frac{x \sin x}{1+(\cos x)^2}$
negative_passages.docid: 153867
negative_passages.text: Evaluate $ \int_{0}^{\frac{\pi}2}\frac1{(1+x^2)(1+\tan x)}\:\mathrm dx$
negative_passages.docid: 147641
negative_passages.text: How to evaluate $\int \frac { \sin x+\cos x }{ \sin^4 x+\cos^4x}\, dx$?
negative_passages.docid: 64480
negative_passages.text: How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
negative_passages.docid: 120168
negative_passages.text: How to calculate $\int_{0}^{\pi/2}{\{\tan(x)\}dx}$
negative_passages.docid: 123500
negative_passages.text: Integration of $\frac {1}{1+\sin x}$
negative_passages.docid: 117587
negative_passages.text: $\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
negative_passages.docid: 29604
negative_passages.text: How to solve $\sin x +\cos x = 1$?
negative_passages.docid: 141516
negative_passages.text: Solve $\int_0^{+\infty} \Big(\frac{\sin t}{t}\Big)^2 \ dt$
negative_passages.docid: 144811
negative_passages.text: Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
negative_passages.docid: 129913
negative_passages.text: Evaluate: $I=\int\limits_{0}^{\frac{\pi}{2}}\ln\frac{(1+\sin x)^{1+\cos x}}{1+\cos x}dx$
negative_passages.docid: 18672
negative_passages.text: Integrate $\int_{0}^{\pi}{\frac{x\cos{x}}{1+\sin^{2}{x}}dx}$
negative_passages.docid: 130670
negative_passages.text: Solving Integrals
negative_passages.docid: 29370
negative_passages.text: Trig integral $\int ( \cos{x} + \sin{x}\cos{x}) \, dx $
negative_passages.docid: 77002
negative_passages.text: $\int_{0}^{\frac{\pi}{2}}\frac{d\theta}{a + \sin^2(\theta)} = \frac{\pi}{2\sqrt{a(a+1)}}$, for $a > 0$
negative_passages.docid: 89499
negative_passages.text: Evaluating the integral $\int_0^{\frac{\pi}{2}}\log\left(\frac{1+a\cos(x)}{1-a\cos(x)}\right)\frac{1}{\cos(x)}dx$
negative_passages.docid: 61339
negative_passages.text: Integrating trigonometric function problem $\int \frac{3\sin x+2\cos x}{2\sin x+3\cos x}dx$