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Find the area of the bounded region

  1. Nov 29, 2014 #1
    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. The problem statement, all variables and given/known data

    Find the area bounded by where 0≤theta≤pie

    r=1/√(1+theta)
    2. Relevant equations


    3. 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)
     
  2. jcsd
  3. Nov 29, 2014 #2

    Orodruin

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    Good start, now you just need to perform the integrals.
     
  4. Nov 29, 2014 #3
    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?
     
  5. Nov 29, 2014 #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.
     
  6. Nov 29, 2014 #5
    thank you very much, it was very helpful of you
     
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