Probability density function

  • #1
http://gyazo.com/02812d5d8f1d07c72153c9f66740e147

I've dealt with integrals with infinity before. When considering the part x >= 1 , do I take the limit as if it's a very large number? i.e. ## \int_0^{\infty} x^{-2.5} \ dx = 2/3 ## ?
 
  • #2
Yes, take the limit as the upper value goes to infinity.
 
  • #3
http://gyazo.com/02812d5d8f1d07c72153c9f66740e147

I've dealt with integrals with infinity before. When considering the part x >= 1 , do I take the limit as if it's a very large number? i.e. ## \int_0^{\infty} x^{-2.5} \ dx = 2/3 ## ?

You mean ##\int_1^\infty##. What you have written would diverge.
 
  • #4
ok thank you
 

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