query: How to integrate $\int \sin^3 x dx$ step by step
positive_passages.docid: 20746
positive_passages.text: Evaluating $\int P(\sin x, \cos x) \text{d}x$
negative_passages.docid: 60275
negative_passages.text: calculation of $\int\frac{1}{\sin^3 x+\cos^3 x}dx$ and $\int\frac{1}{\sin^5 x+\cos^5x}dx$
negative_passages.docid: 151063
negative_passages.text: Calculate $\int_{0}^{\frac{\pi}{2}}\frac{\sin^{3}(t)}{\sin^{3}(t)+\cos^{3}(t)}dt$ by hands
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: 90313
negative_passages.text: Integrate $\int_0^\pi{{x\sin x}\over{1+\cos^2x}}dx$.
negative_passages.docid: 96436
negative_passages.text: About integrating $\sin^2 x$ by parts
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$
negative_passages.docid: 38949
negative_passages.text: How to Evaluate $\int e^{2x}\sin(3x)\ dx$?
negative_passages.docid: 110476
negative_passages.text: Integral of sinc function multiplied by Gaussian
negative_passages.docid: 75562
negative_passages.text: How to integrate $\int x^2 \sin^2(x)dx$
negative_passages.docid: 1150
negative_passages.text: Indefinite Integral of $\sqrt{\sin x}$
negative_passages.docid: 16406
negative_passages.text: Step-by-step definite integration
negative_passages.docid: 93174
negative_passages.text: Evaluate integral $\int_0^\pi \sin^4\left(x+\sin 3x\right)dx$
negative_passages.docid: 140638
negative_passages.text: Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
negative_passages.docid: 105260
negative_passages.text: How to integrate $\int\sqrt{x^2+1}dx$
negative_passages.docid: 66304
negative_passages.text: How to evaluate these integrals by hand
negative_passages.docid: 36366
negative_passages.text: Prove $\int_0^\infty \frac{\sin^4x}{x^4}dx = \frac{\pi}{3}$