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**1. Homework Statement**

...Hence show that the mass of the star is M = [tex]4\pi[/tex][tex]p_{c}[/tex][tex]\left(R^{3}/3 )[/tex]

**2. Homework Equations**

M(r) = [tex]4 \pi[/tex][tex]p_{c}[/tex][tex]\left(r^{3}/3 - r^{4}/4R)[/tex]

This is the mass within a radius

**3. The Attempt at a Solution**

I already found the mass within a radius via intergration (look at relevant equations), and I know that I have to build up an 'infinite' number of radial masses to get the whole mass of the star. But do I use integration on this equation or something else? What do I do?