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

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

**Moderators:** galactus, Random Variable, sos440

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