Board index Computation of Integrals Integral involving Lambert W and Omega Constant

## Integral involving Lambert W and Omega Constant

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### Integral involving Lambert W and Omega Constant

Thu Jun 22, 2017 9:47 am

Posts: 3
$$\displaystyle\int_{0}^{\infty}\dfrac{1+2\cos x+x\sin x}{1+2x\sin x+x^2}\,dx=\dfrac{\pi}{1+W_0(1)}=\dfrac{\pi}{1+\Omega}$$