query: Evaluating $ \int \frac{\sin x+\cos x}{\sin^4x+\cos^4x}\,\text{d}x$.
positive_passages.docid: 26096
positive_passages.text: Evaluating $\int \frac{\sin{x}+\cos{x}}{\sin^4{x}+\cos^4{x}} \mathrm dx$
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: 43699
negative_passages.text: How do I integrate $\int \frac{dx}{\sin^3 x + \cos^3 x}$?
negative_passages.docid: 51489
negative_passages.text: Simplifying the integral $\int\frac{dx}{(3 + 2\sin x - \cos x)}$ by an easy approach
negative_passages.docid: 64480
negative_passages.text: How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
negative_passages.docid: 101587
negative_passages.text: Calculating $\int_{- \infty}^{\infty} \frac{\sin x \,dx}{x+i} $
negative_passages.docid: 93174
negative_passages.text: Evaluate integral $\int_0^\pi \sin^4\left(x+\sin 3x\right)dx$
negative_passages.docid: 29370
negative_passages.text: Trig integral $\int ( \cos{x} + \sin{x}\cos{x}) \, dx $
negative_passages.docid: 126054
negative_passages.text: calculate $\int_o^\pi \frac{x\sin x}{1+\cos^2x} \,dx$
negative_passages.docid: 16712
negative_passages.text: Evaluate $\int_{-\pi/4}^{\pi/4}(\cos(t)+\sqrt{1+t^2}\cos(t)^3\sin (t)^3)dt$
negative_passages.docid: 6549
negative_passages.text: What is the integral of $\sin(\cos x)$?
negative_passages.docid: 127756
negative_passages.text: Integrate $\int \sin (2x) \cos (2x)\,dx$
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: 59667
negative_passages.text: Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
negative_passages.docid: 53554
negative_passages.text: Evaluate $\int \cos(\cos x)~dx$
negative_passages.docid: 100401
negative_passages.text: Evaluate $\int \frac{1}{(x^2+1)^2}dx$
negative_passages.docid: 27910
negative_passages.text: How to evaluate $\int_0^{2\pi} \frac{d\theta}{A+B\cos\theta}$?