Integration for special sine-function
35319
I'm looking for several ways to prove that $\int_{0}^{\infty }\sin(x)x^mdx=\cos(\frac{\pi m}{2})\Gamma (m+1)$
86712
Use rectangular contour to integrate $\int_{0}^{\infty}\frac{\sin(ax)}{e^{2\pi x}-1}dx$
144811
Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
828
Computing the integral of $\log(\sin x)$
22768
Solving a double integration in parametric form
71742
integrate $\int_0^{2\pi} e^{\cos \theta} \cos( \sin \theta) d\theta$
157255
Using residue theorem to integrate from $-\infty$ to $\infty$
12446
integral involving a periodic function
140386
Integrate $\int {\dfrac{x^2+\left(n-1\right)n}{\left(x\sin x+n\cos x\right)^2}}dx $
58947
Integral of $\int\sin^{3}xdx$
119115
Analytic Expression for special integral
53438
I need assistance in integrating $ \frac{x \sin x}{1+(\cos x)^2}$
152358
integration using residue
90313
Integrate $\int_0^\pi{{x\sin x}\over{1+\cos^2x}}dx$.
24808
How to evaluate the integral $\int \sqrt{1+\sin(x)} dx$
84683
integrate $dx/(a^2 \cos^2x+b^2 \sin^2x)^2$
31529
Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$