Integration questions for my astoronomy class

  • Thread starter b_o3
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  • #1
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Hi, I have to do alot of integration questions for my astoronomy class but I'm not really sure how to! for example how do u integrate from a number lets say a = 0, to a = 1/(1+z).... and dt = \frac{da}{H_0 \left(\frac{\Omega_{m,0}}{a} + a^2 \Omega_{\Lambda,0}\right)^{\frac{1}{2}}}

I've done a different kind of simple integration but i have no idea how this works,. thanks!
 

Answers and Replies

  • #2
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[tex]dt = \frac{da}{H_0 \left(\frac{\Omega_{m,0}}{a} + a^2 \Omega_{\Lambda,0}\right)^{\frac{1}{2}}} [/tex]

Is this what you mean ?
 
  • #3
SGT
To integrate [tex]\frac{du}{(a^2 + b^2 u^2)^{-\frac{1}{2}}}[/tex]
make the variable change
[tex]\frac{bu}{a} = tan v[/tex]
and remember that
[tex]1 + tan^2 v = sec^2 v[/tex]
 
  • #4
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yest mentz its that one
 

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