query: How to integrate this : $\int \frac{\cos5x+\cos 4x}{1-2\cos 3x}\,dx$
positive_passages.docid: 90185
positive_passages.text: Another way to evaluate $\int\frac{\cos5x+\cos4x}{1-2\cos3x}{dx}$?
negative_passages.docid: 53438
negative_passages.text: I need assistance in integrating $ \frac{x \sin x}{1+(\cos x)^2}$
negative_passages.docid: 9653
negative_passages.text: Evaluate the integral $\int^{\frac{\pi}{2}}_0 \frac{\sin^3x}{\sin^3x+\cos^3x}\,\mathrm dx$.
negative_passages.docid: 63576
negative_passages.text: Evaluate the integral $\int \frac{\sec x}{\sqrt{3+\tan x}}dx$
negative_passages.docid: 99584
negative_passages.text: Evaluation of $\int \frac{\sqrt{\sin ^4x+\cos ^4x}}{\sin ^3x \cos x }dx$
negative_passages.docid: 108776
negative_passages.text: How to integrate $\int \frac{ev+f}{av^2 + bv +c} dv$?
negative_passages.docid: 43699
negative_passages.text: How do I integrate $\int \frac{dx}{\sin^3 x + \cos^3 x}$?
negative_passages.docid: 92898
negative_passages.text: How to integrate $\sqrt{1-\sin 2x}$?
negative_passages.docid: 6852
negative_passages.text: Integral of $\int \frac{x \sin{x} \cos{x}}{(a^2 \sin^2 x + b^2 \cos^2 x)^2} dx $
negative_passages.docid: 127756
negative_passages.text: Integrate $\int \sin (2x) \cos (2x)\,dx$
negative_passages.docid: 99457
negative_passages.text: How to integrate $\int x\sin {(\sqrt{x})}\, dx$
negative_passages.docid: 71700
negative_passages.text: How to solve $\int_0^\pi{\frac{\cos{nx}}{5 + 4\cos{x}}}dx$?
negative_passages.docid: 65093
negative_passages.text: Integrate $\int \sin^4x \cos^2x dx$
negative_passages.docid: 123767
negative_passages.text: How to integrate $\int \frac{1}{\cos(x)}\,\mathrm dx$
negative_passages.docid: 64417
negative_passages.text: Integration of $\int \frac{x^2+20}{(x \sin x+5 \cos x)^2}dx$
negative_passages.docid: 114956
negative_passages.text: Integrate $\int \cos^4 x\,\mathrm dx.$
negative_passages.docid: 136385
negative_passages.text: Integrate $ \int_{0}^{\frac{\pi}{4}}\tan^{-1}\left(\frac{\sqrt{2}\cos3 \phi}{\left(2\cos 2 \phi+ 3\right)\sqrt{\cos 2 \phi}}\right)d\phi$