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L(\vec{x},\vec{\omega}) = L_e + \int_\Omega f_r(\vec{\omega}, \vec{\omega}') \> L_i(\vec{x},\vec{\omega}') \> (\vec{N}\cdot \vec{\omega'}) \; d \vec{\omega}'
y=a+x^{2}
f(x)=\int_0^{x}g(t)\,dt
I_{j}=\int_{\Omega}f_{j}(\bar{x})d\mu(\bar{x})
L(\vec{x},\vec{\omega}) = L_e + \int_\Omega f_r(\vec{\omega}, \vec{\omega}') \> L_i(\vec{x},\vec{\omega}') \> (\vec{N}\cdot \vec{\omega'}) \; d \vec{\omega}' \ .