Find the area of the bounded region

  • Thread starter tix24
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  • #1
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Hi guys im very new here this is my second post. (sorry in advance i dont know how to use the functions of the site fully yet)

i think this is the correct method to follow, some feedback or hints would be great thanks in advance!!

1. Homework Statement

Find the area bounded by where 0≤theta≤pie

r=1/√(1+theta)

Homework Equations




The Attempt at a Solution


(∫ dtheta ) (∫rdr)

bounds of integration ∫dtheta from o to pie

bounds of integration ∫rdr from 0 to r=1/√(1+theta)
 

Answers and Replies

  • #2
Orodruin
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Good start, now you just need to perform the integrals.
 
  • #3
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Good start, now you just need to perform the integrals.
im more worried about the method, we are suppose to use double integrals, but i got confused over the graph of this function. I checked it in wolfram and it was looping in it self, that is why i dont know if the integrals are set up correctly or not.
any tips regarding the set up of the integral it self?
 
  • #4
Orodruin
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You already did. Naturally, if you give the radius as a function of an angle, you will get some sort of loop or spiral unless you bound the argument. In your case it is bounded to be between 0 and π.
 
  • #5
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You already did. Naturally, if you give the radius as a function of an angle, you will get some sort of loop or spiral unless you bound the argument. In your case it is bounded to be between 0 and π.
thank you very much, it was very helpful of you
 

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