Uniform Density Stars: Struggling with Understanding

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Understanding uniform density stars can be challenging, particularly when it involves calculus and integration of complex equations. Many participants suggest breaking down the problem into manageable parts, starting with specific questions like part (a) of the assignment. A lack of calculus knowledge, especially regarding integration, can hinder comprehension of the material. It’s crucial to address foundational concepts before tackling advanced topics. Mastering these basics is essential for progressing in astrophysics studies.
Cythermax
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Homework Statement
Completely stuck on this. Posted it below.
Relevant Equations
Attached the equations
I don't know where to start. This chapter is incredibly confusing for me.
 

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Take it one step at a time. Can you do part (a)? When you say you "don't know where to start", does that mean you don't know enough calculus to integrate equation 10.48? If so, you're probably in trouble.
 

Thread 'Help needed with Elliptic Integrals'

I want to find the solution to the integral ##\theta = \int_0^{\theta}\frac{du}{\sqrt{(c-u^2 +2u^3)}}## I can see that ##\frac{d^2u}{d\theta^2} = A +Bu+Cu^2## is a Weierstrass elliptic function, which can be generated from ##\Large(\normalsize\frac{du}{d\theta}\Large)\normalsize^2 = c-u^2 +2u^3## (A = 0, B=-1, C=3) So does this make my integral an elliptic integral? I haven't been able to find a table of integrals anywhere which contains an integral of this form so I'm a bit stuck. TerryW
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