query: Integration by parts sine
positive_passages.docid: 51837
positive_passages.text: Show that $\int_{0}^{\pi} xf(\sin(x))\text{d}x = \frac{\pi}{2}\int_{0}^{\pi}f(\sin(x))\text{d}x$
negative_passages.docid: 74241
negative_passages.text: Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
negative_passages.docid: 127756
negative_passages.text: Integrate $\int \sin (2x) \cos (2x)\,dx$
negative_passages.docid: 67186
negative_passages.text: Complex analysis integration question
negative_passages.docid: 119669
negative_passages.text: Evaluate $\int \frac{1}{\sin x\cos x} dx $
negative_passages.docid: 77661
negative_passages.text: Using Integration By Parts results in 0 = 1
negative_passages.docid: 136556
negative_passages.text: how to simplify symbolic integration
negative_passages.docid: 51610
negative_passages.text: Consecutively Adding Sines
negative_passages.docid: 81825
negative_passages.text: Orthogonality of sine and cosine integrals.
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 $
negative_passages.docid: 61339
negative_passages.text: Integrating trigonometric function problem $\int \frac{3\sin x+2\cos x}{2\sin x+3\cos x}dx$
negative_passages.docid: 153283
negative_passages.text: Trigonometric Integral Using Residue Theorem
negative_passages.docid: 90313
negative_passages.text: Integrate $\int_0^\pi{{x\sin x}\over{1+\cos^2x}}dx$.
negative_passages.docid: 61740
negative_passages.text: Evaluate the integration : $\int\sqrt{\frac{(1-\sin x)(2-\sin x)}{(1+\sin x)(2+\sin x)}}dx$
negative_passages.docid: 132000
negative_passages.text: Calculate $\int_0^\infty\frac{\sin x}xdx$ by integration of a suitable function along given paths
negative_passages.docid: 30127
negative_passages.text: Integration of sqrt Sin x dx
negative_passages.docid: 25489
negative_passages.text: Evaluate the Integral: $\int e^{2\theta}\ \sin 3\theta\ d\theta$