query: Is there any trig identity which can be used for $\int \sin^4x$?
positive_passages.docid: 23685
positive_passages.text: Integrating $\int \sin^n{x} \ dx$
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: 147886
negative_passages.text: Proof of the angle sum identity for $\sin$
negative_passages.docid: 88372
negative_passages.text: Integrate : $\int \frac{\sin x}{\sin4x} \,dx$
negative_passages.docid: 31575
negative_passages.text: Solving trigonometric equations of the form $a\sin x + b\cos x = c$
negative_passages.docid: 36457
negative_passages.text: Closed form for $\int \frac{1}{\sin^nx +\cos^mx}dx$
negative_passages.docid: 518
negative_passages.text: What is the integral of $\int e^x\,\sin x\,\,dx$?
negative_passages.docid: 64480
negative_passages.text: How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
negative_passages.docid: 70715
negative_passages.text: How do I prove $\int_0^\pi\frac{(\sin nx)^2}{(\sin x)^2}dx = n\pi$?
negative_passages.docid: 139297
negative_passages.text: Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
negative_passages.docid: 26096
negative_passages.text: Evaluating $\int \frac{\sin{x}+\cos{x}}{\sin^4{x}+\cos^4{x}} \mathrm dx$
negative_passages.docid: 153283
negative_passages.text: Trigonometric Integral Using Residue Theorem
negative_passages.docid: 40235
negative_passages.text: How would I differentiate $\sin{x}^{\cos{x}}?$
negative_passages.docid: 87934
negative_passages.text: Deducing $\sin x + \cos x \ge 1$ from $(\sin x + \cos x)^2 = 1 + 2 \sin x \cos x$
negative_passages.docid: 126630
negative_passages.text: How to compute the integral of trigonometic function with multiple angle
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: 14279
negative_passages.text: Indefinite Integral with "sin" and "cos": $\int\frac{3\sin(x) + 2\cos(x)}{2\sin(x) + 3\cos(x)} \; dx $