query: How do I integrate $\frac{\sin x+\cos x}{\sin^4 x+\cos^4 x}$
positive_passages.docid: 147641
positive_passages.text: How to evaluate $\int \frac { \sin x+\cos x }{ \sin^4 x+\cos^4x}\, dx$?
negative_passages.docid: 126576
negative_passages.text: Most efficient way to integrate $\int_0^\pi \sqrt{4\sin^2 x - 4\sin x + 1}\,dx$?
negative_passages.docid: 6549
negative_passages.text: What is the integral of $\sin(\cos x)$?
negative_passages.docid: 20016
negative_passages.text: How to integrate $\int_0^{\pi/2}\frac{\sin^nx}{\sin^nx+\cos^nx}dx$?
negative_passages.docid: 90313
negative_passages.text: Integrate $\int_0^\pi{{x\sin x}\over{1+\cos^2x}}dx$.
negative_passages.docid: 130736
negative_passages.text: Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
negative_passages.docid: 145403
negative_passages.text: Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$
negative_passages.docid: 92898
negative_passages.text: How to integrate $\sqrt{1-\sin 2x}$?
negative_passages.docid: 144811
negative_passages.text: Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
negative_passages.docid: 123767
negative_passages.text: How to integrate $\int \frac{1}{\cos(x)}\,\mathrm dx$
negative_passages.docid: 84683
negative_passages.text: integrate $dx/(a^2 \cos^2x+b^2 \sin^2x)^2$
negative_passages.docid: 154219
negative_passages.text: Help with integral $\int\frac{1}{\sqrt{\tan x}}dx$
negative_passages.docid: 138968
negative_passages.text: how to integrate $\frac{1}{\sqrt{e^{2x}+e^x+1}}$
negative_passages.docid: 30127
negative_passages.text: Integration of sqrt Sin x dx
negative_passages.docid: 89387
negative_passages.text: Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$
negative_passages.docid: 143734
negative_passages.text: Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$
negative_passages.docid: 29370
negative_passages.text: Trig integral $\int ( \cos{x} + \sin{x}\cos{x}) \, dx $