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This can be further rewriteen written as:
LaTeX Math Block  

 
L = \int_{p_0}^{p} \frac{ \rho \, dp}{G \, \rho^2  F(\rho)}  j_m^2 \cdot \int_{\rho_0}^{\rho} \frac{1}{\rho} \, \frac{d \rho}{G \, \rho^2  F(\rho)} 
...
...

This can be further rewriteen written as:
LaTeX Math Block  

 
L = \int_{p_0}^{p} \frac{ \rho \, dp}{G \, \rho^2  F(\rho)}  j_m^2 \cdot \int_{\rho_0}^{\rho} \frac{1}{\rho} \, \frac{d \rho}{G \, \rho^2  F(\rho)} 
...